Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or same column

Answers

Answer 1

Answer:

1200

Explanation:

Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:

nCr = n! / r! * (n - r)!

where n= total number of items

r= number of items chosen at a time

Combinations are used when the order of events do not matter in calculating the outcome.

We calculate using the formula:

(30×20×12)÷3!=1200

There are therefore 1200 ways for the three distinct items to not be in same row or column


Related Questions

Help please, thanks as always in advance.

Which correlation coefficient indicates the data set with the strongest linear correlation?

0.41
−0.25
0.66
−0.83

Answers

Step-by-step explanation:

Which correlation coefficient indicates the data set with the strongest linear correlation?

0.66

The correlation coefficient indicates the data set with the strongest linear correlation is -0.83

What is correlation coefficient?

"It measures the strength of the relationship between two relative variables."

What is linear correlation?

"When the rate of change is constant between two variables then it is said to be linear correlation."

For given example,

We have been given correlation coefficients.

We need to find the correlation coefficient that indicates the data set with the strongest linear correlation.

We know, the correlation coefficient lies between -1 to 1.

So, the strongest linear correlation is indicated by a correlation coefficient of -1 or 1.

From given correlation coefficients,

-0.83 is close to -1.

Therefore, the correlation coefficient indicates the data set with the strongest linear correlation is -0.83

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Đại biểu ĐBTQ lần thứ VIII (1996) của Đảng, xác định “phát huy nguồn lực con người là yếu tố cơ bản cho sự phát triển nhanh và bền vững trong quá trình CNH,HĐH đất nước”, anh/chị hãy phân tích quan điểm này và liên hệ thực tiễn Việt Nam hiện nay?

Answers

Yo no si la verdad que no

Two lines, A and B, are represented by equations given below:

Line A: y = x − 2
Line B: y = 3x + 4

Which of the following shows the solution to the system of equations and explains why?

(−3, −5), because the point does not lie on any axis
(−3, −5), because the point satisfies both equations
(−4, −8), because the point satisfies one of the equations
(−4, −8), because the point lies between the two axes

Answers

9514 1404 393

Answer:

  (b)  (−3, −5), because the point satisfies both equations

Step-by-step explanation:

Any solution to a system of two equations must satisfy both equations. The only reasonable explanation of "why" is the one associated with the answer shown above.

a new automobile cause 11300 which is 100 more than 25 times a certain number what is the number​

Answers

Answer:

25x + 100 = 11300

25x = 11200

448 = x

Step-by-step explanation:

the certain number is 448

Solve the initial-value problem using the method of undetermined coefficients.
y'' − y' = xe^x, y(0) = 6, y'(0) = 5

Answers

First check the characteristic solution. The characteristic equation to this DE is

r ² - r = r (r - 1) = 0

with roots r = 0 and r = 1, so the characteristic solution is

y (char.) = C₁ exp(0x) + C₂ exp(1x)

y (char.) = C₁ + C₂ exp(x)

For the particular solution, we try the ansatz

y (part.) = (ax + b) exp(x)

but exp(x) is already accounted for in the second term of y (char.), so we multiply each term here by x :

y (part.) = (ax ² + bx) exp(x)

Differentiate this twice and substitute the derivatives into the DE.

y' (part.) = (2ax + b) exp(x) + (ax ² + bx) exp(x)

… = (ax ² + (2a + b)x + b) exp(x)

y'' (part.) = (2ax + 2a + b) exp(x) + (ax ² + (2a + b)x + b) exp(x)

… = (ax ² + (4a + b)x + 2a + 2b) exp(x)

(ax ² + (4a + b)x + 2a + 2b) exp(x) - (ax ² + (2a + b)x + b) exp(x)

= x exp(x)

The factor of exp(x) on both sides is never zero, so we can cancel them:

(ax ² + (4a + b)x + 2a + 2b) - (ax ² + (2a + b)x + b) = x

Collect all the terms on the left side to reduce it to

2ax + 2a + b = x

Matching coefficients gives the system

2a = 1

2a + b = 0

and solving this yields

a = 1/2, b = -1

Then the general solution to this DE is

y(x) = C₁ + C₂ exp(x) + (1/2 x ² - x) exp(x)

For the given initial conditions, we have

y (0) = C₁ + C₂ = 6

y' (0) = C₂ - 1 = 5

and solving for the constants here gives

C₁ = 0, C₂ = 6

so that the particular solution to the IVP is

y(x) = 6 exp(x) + (1/2 x ² - x) exp(x)

What is the volume of the prism below?

19.80 cubic units

553.02 cubic units

84.17 cubic units

42.09 cubic units

Answers

The volume of prism is,

⇒ V = 42.09 cubic units

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Base = 5.12

height = 4.11

Lenght = 4

Now, We can formulate;

The value of volume of prism is,

⇒ V = 1/2 (b x h) l

⇒ V = 1/2 (5.12 x 4.11) 4

⇒ V = 42.09 cubic units

Thus, The volume of prism is,

⇒ V = 42.09 cubic units

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calculate the effective yearly rate if an investment offers a nominal interest rate of 9.5% compounded quarterly​

Answers

Answer:

9.725%

Step-by-step explanation:

(1.0475)^2 =1.09725

one year 2 periods 4.75% per period

What is the order of rotational symmetry for the figure?
A. 4 or more
B. 2
C. 1
D. 3

Answers

The answer is 2, it is not 4, it would be 2 because which ever side you start of on if you rotate it again 2 times you will go back to where you were at first. Therefore the rotational symmetry is 2

Urgent need the answers plz help.

Answers

Answer:

(a) [tex]P" = (-4,-3)[/tex]

(b) [tex](x,y) \to (4,-8)[/tex]

Step-by-step explanation:

Given

[tex]P = (4,3)[/tex]

Solving (a): Reflect across x and y-axis.

Reflection across x-axis has the following rules

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]P' = (4,-3)[/tex]

Reflection across y-axis has the following rules

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]P" = (-4,-3)[/tex]

Hence, the new point is: (-4,-3)

Solving (b): Rx . Do,2 (2,4)

[tex]R_x \to[/tex] reflect across the x-axis

Reflection across x-axis has the following rules

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex](2,4) = (2,-4)[/tex] ---- when P is reflected across the x-axis

[tex]D_{o,2} \to[/tex] dilate by a scale factor of 2

The rule is:

[tex](x,y) \to 2 * (x,y)[/tex]

So, we have

[tex](x,y) \to 2 * (2,-4)[/tex]

Open bracket

[tex](x,y) \to (4,-8)[/tex]

if a/b = 3 and a + b = 2, what is a - b​

Answers

Answer:

1

Step-by-step explanation:

a/b=3------equation 1

a+b=2-----equation 2

from equation 2

b=2-a

substitute b=2-a in equation 1

a/2-a=3

a=3(2-a)

a=6-3a

a+3a=6

a=6/4

a=3/2

substitute a=3/2 in equation 2

3/2+b=2

3+2b=4

2b=1

b=1/2

a-b=3/2-1/2

a-b=(3-1)/2

a-b=2/2

a-b=1

de la
QUESTION 8
The hospital has allotted 120 days of inservice for every 15 departments. How many days of inservice can each department use?
I

Answers

Answer:

in 8 days

Step-by-step explanation:

soln

given,

total days=120

department=15

we know,

120/15

=8

•°•8days are given to each department.

Susan's haircut was $18 if she gave a 20% tip what will her total cost be

Answers

Answer:

21.60

Step-by-step explanation:

First find the tip

18 * 20%

18 *.2

3.60

Then add it to the cost of the haircut

18 + 3.60

21.60

Mr jones rolls a 6 sided cube mumbered 1,2,3,4,5,6, what is the probability he rolls a three.

Answers

Answer:1.5

Step-by-step explanation:

The total number of branches in a tree diagram will be which of the following values?

the probability of an event occurring
the denominator of a probability
the numerator of a probability

Answers

Answer:

The total number of branches = total possibilities = the denominator of a probability.

So the second choice is correct.

Let me know if this helps!

Answer:

Step-by-step explanation: answer B (the denominator of a probability)

QUESTION 9
Convert 0.85 decimal to a fraction (do not reduce)

Answers

Answer:

85/100

Step-by-step explanation:

0.85 from a decimal is equal to 85/100 in fractions

Solve for
x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

[tex]\displaystyle x \approx 30.8[/tex]

Step-by-step explanation:

Note that the figure is a right triangle, and that we are given the length of the side adjacent to x and the hypotenuse of the triangle.

Therefore, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 8.5 and the hypotenuse is 9.9. Therefore:

[tex]\displaystyle \cos x = \frac{8.5}{9.9}[/tex]

We can take the inverse cosine of both sides:

[tex]\displaystyle x = \cos^{-1} \frac{8.5}{9.9}[/tex]

Use a calculator. Hence:

[tex]\displaystyle x \approx 30.8[/tex]

30 is the answer get me

(Kind of urgent!) Using the figure below, find the value of a. Enter your answer as a simplified radical or improper fraction (if necessary)

Answers

Answer:

15/4

Step-by-step explanation:

sin60 =z/15

z=15sin60 =(15√3)/2

cos30 =b/z

b = zcos30 = (15√3)/2 * √3/2 = 45/4

a = 15-b = 15-45/4 = 15/4

The value of a is 15/4

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

According to the given figure,

Here is a right triangle

Let, The hypotenuse = 15

perpendicular = z and base = 15 = a + b

⇒ sin60 = perpendicular/hypotenuse = z/15

⇒ z = 15sin60 = (15√3)/2

⇒ cos30 = base/hypotenuse = b/z

⇒ b = zcos30 = (15√3)/2 * √3/2 = 45/4

⇒ a + b = 15

Substitute the value of b in the above equation,

⇒ a = 15-b = 15-45/4 = 15/4

Hence, the value of a is 15/4.

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Use the graph of ƒ to find ƒ(2).
0.5
–8
–0.5
Does not exist

Answers

Answer:

Step-by-step explanation:

When you're looking to find things like f(2) and f(4) and f(-3000), etc. the number inside the parenthesis is an x value. Look to the graph, find that x value, and locate the y value that corresponds to it. f(2) = -8. f(-1) = 4. f(1) = -4. See?

Answer:

does not exist

Step-by-step explanation:

that what i put hope it helps

a number t is less than 7

Answers

Answer:

6 or 5 or 4...........

Step-by-step explanation:

Answer:

x=N :x<7

Step-by-step explanation:

123456

hope it's helpful

A projectile is fired from a cliff feet above the water at an inclination of​ 45° to the​ horizontal, with a muzzle velocity of feet per second. The height h of the projectile above the water is given by
where x is the horizontal distance of the projectile from the face of the cliff. Use this information to answer the following.
​(a) At what horizontal distance from the face of the cliff is the height of the projectile a​ maximum?

​(Simplify your​ answer.)
​(b) Find the maximum height of the projectile.

​(Simplify your​ answer.)
​(c) At what horizontal distance from the face of the cliff will the projectile strike the​ water?

​(d) Using a graphing​ utility, graph the function​ h, Which of the following shows the graph of​ h(x)?
In all​ graphs, the window is by
A.



A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 180), rises to a maximum at (74, 230), and then falls to (230, 10). All coordinates are approximate.
B.



A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 210), rises to a maximum at (40, 230), and then falls to (176, 0). All coordinates are approximate.
C.



A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 210), rises to a maximum at (56, 240), and then falls to (220, 0). All coordinates are approximate.
D.



A coordinate system has a horizontal axis labeled from 0 to 230 in increments of 20 and a vertical axis labeled from 0 to 260 in increments of 50. From left to right, a curve starts at (0, 240), rises to a maximum at (28, 245), and then falls to (194, 0). All coordinates are approximate.
​(e) When the height of the projectile is 100 feet above the​ water, how far is it from the​ cliff?

Answers

Answer:

$170 Feet

Step-by-step explanation:

It is very long process

Help! Please? Dont understand

Answers

The answer for this is B

In GeoGebra, display the slope of AB and the slope of the perpendicular line passing through C. Use this to verify your responses in parts B and C. Then move points A, B, and C on the grid to several different locations, and record the slopes of the two lines and the coordinates of A, B, and C.

Answers

Answer:

plato screenshot!

Step-by-step explanation:

I don't personally know *how* to find the answers, but here's the screenshot of the suggested answer on Plato

Answer:

A B Slope of  C Slope of Line Through C

(−5,4) (−1,−1) −1.25 (1,2) 0.8

(−5,4) (−3, 5) 0.5 (−2, 1) −2

(−4, 1) (−3, 5) 4 (−2, −2) −0.25

(−5, −2) (−1, 1) 0.75 (−4, 3) −1.33

(−5, −2) (1, −1) 0.17 (−3, 1) −6

Step-by-step explanation:

that way you can copy and paste each one but Plato

the sum of (a-b)^2 and (a+b)^2​

Answers

Answer:

sum is 2(a² + b²)

Step-by-step explanation:

[tex] {(a - b)}^{2} + {(a + b)}^{2} \\ = ( {a}^{2} - 2ab + {b}^{2} ) + ( {a}^{2} + 2ab + {b}^{2} ) \\ = 2 {a}^{2} + 2 {b}^{2} \\ = 2( {a}^{2} + {b}^{2} )[/tex]

Solve 5x + 3 = -7x + 21

Answers

Answer:

x = 3/2

Step-by-step explanation:

5x + 3 = -7x + 21

5x - -7x = 21 - 3

12x = 18

x = 18/12

x = 3/2

a cubical water tank is 80 CM broad how many CC of water does it hold​

Answers

Answer:

I think: vol of h20 inside = side³ = (80cm)³ =512000 cm³

Please refer!

Step-by-step explanation:

I'm not sure but hope it helps.

To collect opinions on the last teacher contract settlement, you interview each one of your teachers. This is an example of

A. random sampling
B. a census
C. interview sampling
D. convenience sampling

Answers

Answer:

may be interview sampling

Step-by-step explanation:

because here is eord interview

What is the equation

Answers

Answer:

D.) y = 2x + 2

Step-by-step explanation:

First, we need to find the slope.

Lets use the points (0, 2) and (-2, -2).

Using the formula for calculating slope, we get 2 as our slope.

Since the equation should be in slope-intercept form, we use this formula.

y = mx + b

We'll use our first point (0, 2) to substitute for x and y and use 2 to substitute for m (slope):

2 = 2(0) + b

2 x 0 = 0

2 = 0 + b

-0 = -0

= 2 = b

Now, substitute b for 2 for 2 for m.

= y = 2x + 2.

Hope this helps!

If there is something wrong, please let me know.

a shopkeeper gains #1.75 by selling an article for #6.25. what is the percentage gain.​

Answers

Answer:

≈ 38.89%

Step-by-step explanation:

The cost is:

6.25 - 1.75 = 4.50

Percentage gain:

1.75/4.50*100% ≈ 38.89%

An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours. A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider. After completing a study, the sociologist found that the average daily amount of time an adult spends on the internet is 5.9 hours, on average. As the sociologist sets up a hypothesis test to determine if their belief is correct, what is their claim?

a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.
b. The average daily amount of time an adult spends on the internet is different than 5.9 hours.
c. Adults spend a majority of their time on the internet.
d. The average daily amount of time an adult spends on the internet is 4.5 hours.

Answers

Answer:

a. The average daily amount of time an adult spends on the internet is different than 4.5 hours.

Step-by-step explanation:

An internet provider states that, on average, the daily amount of time an adult spends on the internet is 4.5 hours.

At the null hypothesis, it is claimed that the mean is of 4.5 hours, that is:

[tex]H_0: \mu = 4.5[/tex]

A sociologist studying the behaviors of internet consumers believes the average daily amount an adult spends on the internet is different than the amount stated by the internet provider.

At the alternative hypothesis, the sociologist claim, is that the mean is different of 4.5, that is:

[tex]H_1: \mu \neq 4.5[/tex]

Thus, the correct answer is given by option a.

Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
16 subtracted from a number

Let x = the number.


16 subtracted from a number can be written as…

Answers

Answer:

I think the answer is

x-16

since 16 is subtracted from x.

I hope this helps

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I bought this radio ...... rs. 1000.a. from b.by c. about d. away from express the trinomial (2x+4)(x-1) The Eye Clinic of Dr. Christensen is investing in some equipment to perform corrective eye surgery. It is expected that the equipment purchase will generate an internal rate of return of 24%. This equipment was chosen over equipment to perform cataract eye surgery. Thus, the internal rate of return of the cataract eye surgery equipment must have been ______. You learned in the previous lesson that T cells require two independent signals to become activated. When T cells are activated, they acquire effector functions and begin to proliferate. This two-signal mechanism prevents the expansion of self-reactive effector T cells. Similarly, B cell receptor signaling alone is not sufficient to activate B cells. B cells require assistance from helper T cells to become activated by monovalent protein antigens and gain certain immune functions. What changes do you suspect will occur to B cells when they are activated by protein antigen and receive T cell help? (select all that apply)a) They will generate memory cells that can respond to a subsequent exposure to antigen.b) Their immunoglobulin genes will be mutated in a way that alters antigen affinity.c) The isotype of their immunoglobulin (Ig) genes will change.d) They will proliferate and expand.e) They will secrete antibodies. If a=120 , find the measure of angles b, c and d.Explain your reasoning. What are some methods a media designer uses to let us know what the focal point of an advertisement is? Select allthat apply.contrasting colorshierarchy of designthe focal point larger in sizethe focal point a different texturelots of small textanalogous colors RS=7y+4, ST=3y+6, and RT=90 HELP! A semi circle of radius 6 is centered at the origin as shown. A rectangle has two of its vertices at (5,0) and (-5,0) and the other two vertices on the semi-circle. What is the exact area of the rectangle? What is the equation of the semi circle? need help asap what is the value of f(3) in the function below Which of the following materials contains a base?a. Stomach digestive juicesb. Orange juicec. Ammonia window cleanerd. Vinegar Great customer service is more a mindset than a checklist, and it has to do with: What was the purpose of the Jamestown colony? In "The Treasure of Lemon Brown" what did Greg do as he entered his house, knowing that he was about to receive alecture?A. defend himselfB. smileC. slam the doorD. stomp up the stairs 1. Urban sprawl has happed (fast) ____________ than ever How to find interquartilte range here you guys go also first gets brainly. please help me with this /-////- Which of the following would best enhance a readers understanding of this poem what do youean by faternity For many adults, learning .......................... as something only for school children.A. doesn't seeB. don't seeC. aren't seenD. isn't sn