Dave collects model trains. So far he has 23 distinct train cars. How many ways can he put 7 cars together? = Answer 23 PAnswer 7 =23!(23−7)! =23!16! = Answer 23 ⋅ Answer 22 ⋅21⋅20⋅19⋅18⋅ Answer 17 = Answer

Answers

Answer 1

Answer:

He can put 7 cars together in 245,157 ways.

Step-by-step explanation:

The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

23 distinct train cars. How many ways can he put 7 cars together?

Combinations of 7 from a set of 23. So

[tex]C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157[/tex]

He can put 7 cars together in 245,157 ways.


Related Questions

one number from 10 to 20 is written on each card select one card randomly what are the probability​

Answers

Answer:

1

Step-by-step explanation:

S = {,10,11,12,13,14,15,16,17,18,19,}

n(s) = 10

P(a) = n(a) / n(s)

= 10 / 10

= 1 / 1

= 1

hope this helps.....

Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)


15a) Set the equation equal to 0 by inverse operations.




15b) Place the equation in factored form.




15c) Set each factor equal to 0 and solve for x.


I need help asap will give brainlist if answered and work is showed!

Answers

Step-by-step explanation:

15a)

[tex]x^2+4x=21[/tex]               Subtract both sides by 21

[tex]x^2+4x-21 =0[/tex]

15b)

7 and -3 multiply to -21 and add to 4

The factors are (x+7)(x-3)

15c)

x+7 =0

x=-7  

x-3=0

x=3              

What are the measure of ∠1 and ∠ 2 ? Show your work or explain

Answers

Answer:

I need the picture.

how would 3 over 5

be Classified ​

Answers

Answer:

3/5 is expressed as 60% in terms of Percentage.

Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.

Please help, I might give brainliest.

Answers

Answer:

1. The two decimals are 1.06 and 1.28. 2. The numbers 1.06 and 1.28 are both between 1 and 2.

find the area of the circle use 3.14 for it d = 10 cm a = ? cm^2

NO TROLLS TY

Answers

Answer:

78.5 cm²

Step-by-step explanation:

GIVEN :-

Diameter of the circle (d) = 10 cmπ = 3.14

TO FIND :-

Area of the circle (a)

FORMULAES TO BE USED IN THIS QUESTION :-

[tex]Radius = \frac{Diameter}{2}[/tex][tex]Area = \pi \times (Radius)^2[/tex]

SOLUTION :-

[tex]Radius\: (r) = \frac{Diameter}{2} = \frac{10}{2} = 5 cm[/tex]

[tex]=> Area = \pi r^2[/tex]

               [tex]= 3.14 \times (5)^2[/tex]

               [tex]= 3.14 \times 25[/tex]

               [tex]= 78.5 \: cm^2[/tex]

               

-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, please!

Answers

Answer:

x=12 .  x=-12

Step-by-step explanation:

ONce you do the quadratic equasion than you move on to the solving part and from ther it is easy

Which value of x satisfy the following equation 24x - 18 - 18x - 30 = 96

Answers

Answer:

(24x-18x)( -18-30)

6x-48

Here is a picture and thank you

Answers

no don’t thank me because i’m not answering it
The answer is B.

Because that expression simplified is 3x - 9x ³. Expand that and it gives you: 3x(1- 3x ²).

if f(x)=x2+x and g(x)=x-3, find f(g(7))​

Answers

f(g(7)) = 20

Hope it helps you...

2 Points

(25x

0
The equation ya

represents Michelle's regular

130(x-38) +950 %> 38

hourly and overtime wage. Based on this equation, what is Michelle's

overtime hourly pay?

A. $30

B. $38

O C. $950

O D. $25

Answers

Answer:

The answer is "35.22".

Step-by-step explanation:

Let the given equation:

[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]

Answer: $25

Step-by-step explanation: took the quiz

how to Find the area of the following parallelograms?​

Answers

Answer:

A=LxW

Step-by-step explanation:

It is same as the area of rectangles

A=LxW

Answer:

To find first Base and height of parallelogram then

Area= b×h

what is the definition of risk ?

Answers

Answer: DOING SOMETHING THAT HAS THE POSOBILITY OF IT BEING BAD

Step-by-step explanation: BECAUSE

Answer:

D

Step-by-step explanation:

just got it right on edge

what is the missing reason in the proof?

Answers

Answer:

i cant view the picture

Step-by-step explanation:

Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)

Answers

Step-by-step explanation:

many things are possible.

the only thing we must not do is mixing the addition elements with the multiplication elements.

but we could change the expression to

3×(3×8) + 5

or

5 + (3×3)×8

or

5 + (3×8)×3

and so on, and it would always be the same result.

The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.

The given expression is 5+3 ×(3×8).

We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.

What is the commutative property of addition?

The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.

Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

The new expression=3×(3×8)+5

Therefore, option B is the correct answer.

#SPJ2

Your question is incomplete, probably the complete question/missing part is:

Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)

A. (3*3)*8+8

B. 3*(3*8)+5

C. 5+3*(24)

D. 3*(8*3)+5

Anyone wanna play Ka Hoot?

Answers

Step-by-step explanation:

Education is anyday more important than money. ... But education is knowledge and through knowledge, we can rule over the whole world. Knowledge is a wealth more important than money. Money can buy an object, but not the thought process (knowledge) that went into creating that object.

For any two integers A and B, A minus b is equal to a plus additive inverse of b is equal to a + Dash

Answers

Answer:

For any integer number n, the inverse additive of n is also an integer K such that:

n + K = 0

solving this for K, we get that:

K = -n

Then the inverse additive of n is -n.

Now that we know this let's complete this.

We know that for any two integers A and B, a minus b is equal to a plus the additive inverse of b.

To check this:

a minus b is written as:

a - b

And a plus the additive inverse of b is:

a + (-b)

because -b is the additive inverse of b.

Remember the rule sign:

(+)*(-) = -

Then we can rewrite:

a + (-b) = a - b

Then the statement is true.

"For any two integers a and b, a minus b is equal to a plus additive inverse of b is equal to a + (-b)"

The figure above is a regular hexas What is the value of x?

Answers

Answer:

A hexagon has six sides, and we can use the formula degrees = ( number of sides – 2) × j180. Then degrees = (6 – 2) × 180 = 720 degrees. Each angle is 720/6 = 120 degrees. straight angle is 180 and that one angle of hexagon 120 so 180 - 120 = 60

answer: value of x is 60 degrees

Which number best represents the slope of the graphed line?

Answers

you forgot to add the picture

Name the property shown by the statement. (5 + m) + n = 5+ (m + n)

Answers

Answer:

Associative property of addition

Put these numbers in order from least to greatest.
9.9, 9.5, and 9 4/5

Answers

9.5, 9 4/5, 9.9

9 4/5 is equal to 9.8

Jasmine used the number line to find the distance between 0 and 5. What was Jasmine’s error? Jasmine should have counted from 5 to 0. Jasmine started with the wrong integer. Jasmine gave a negative answer for distance. Jasmine ended with the wrong integer.

Answers

Answer:

The answer is "Option C".

Step-by-step explanation:

In this question, the distance value is -5 that's why option c is correct.

Answer:

C. Jasmine gave a negative answer for distance.

Part II: Find the sine, cosine, and tangent ratios of <y ​

Answers

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

i don’t understand how to find the number that goes into the blank box.

Answers

Answer:

8

Step-by-step explanation:

It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.

Hope this helps and pls tell if it's correct.

what is the formula of cost ​

Answers

Step-by-step explanation:

I don't know the answer try again later

- 2.7f+0.3f-12- 5 =
Plss help i need the answer right now plss.​

Answers

Answer:

2.4f-17

Add similar elemets : 2.7f + 0.3f =2.4f

Subtract the numbers:-12 - 5= -17

Answer:

- 2.4f - 17

Step-by-step explanation:

Given

- 2.7f + 0.3f - 12 - 5 ← collect like terms

= - 2.4f - 17

Consider the function shown in the table.
What are the inputs of the function?
-1, 0, 1, 2
-1,0,3
-1, 0, 1, 2, 3

Answers

Answer: a

Step-by-step explanation:

its the first one

Answer:

the first one is A and the second one is B

Step-by-step explanation:

im doing the assignment right now

express 96 as the product of prime factors
need it asap
plzz write the method too​

Answers

Given:

The given number is:

[tex]96[/tex]

To find:

The product of prime factors of given number.

Solution:

We have,

[tex]96[/tex]

The prime factors of given number are:

2 | 96

2 | 48

2 | 24

2 | 12

2 | 6

3 | 3

  | 1    

So, 96 can be written as:

[tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex]

Therefore, the 96 as the product of prime factors is [tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex].

A and B are the subsets of a universal set U. If U = {1,2,3,4,5,6,7,8,9,10} A={1,2,3,5,7,9} and B ={1,2,3,6}, show that AUB complement=AΠB complement

Answers

Answer:

AUB= {1,2,3,5,6,7,9}

AnB={1,2,3}

Instructions: Using the image, find the slope of the line. Reduce all fractions and enter using a forward slash (i.e.
"/"). If the slope is undefined, enter "undefined

Answers

Answer:

Δy = 5  Δx = 1

slope = [tex]\frac{5}{1}[/tex] = 5

Step-by-step explanation:

Other Questions
6. Roll a pair of dice. What is the probability that a total of 12 will be face up? Evaluate f(3)A. 18B. 12C. 4D. 21 The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. The x-axis represents ground level.To find where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8.Where does this section of the bridge meet ground level? (x-7)(x^2+3x-3) multiply the polynomials ...................thnx If solved....XD What is a name for the marked angle?Chose 1 answer Drag the tiles to the correct boxes to complete the pairs.Match the mRNA sequences to their DNA sequences.AUUACGCAUCCGAAAUGUGAUCAUUACUUUUUAACGAAAAATTGCarrowRightGGCTTTACAarrowRightTAATGCGTAarrowRightCTAGTAATGarrowRight HELP PLEASEEEEEEEEEEEEEEEEEEEEE Al igual que la Constitucin de los Estados Unidos, Roma tenia un conjunto de leyes escritas que se conocan como: Based on the article "Will the real atomic model please stand up?," why did J.J. Thomson experiment with cathode ray tubes? 4. Which answer choice BEST describes the author's point of view aboutThomas Sullivan?Sullivan's idea for the individual tea bag was more popular in 1908 when itwas a silk bag than it is today as a gauze bag.Sullivan's clever way of marketing tea bags was highly effective and is thereason why they are everywhere today.Sullivan was wrong to steal the idea of the tea leaf holder from Roberta C.Lawson and Mary McLarenSullivan was the first one to invent the tea bag and make it official by gettinga patent for it On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.(1,1)(1,1)(1,0)(0,1) A permanent magnet is pushed into a wire, left there for a while, and then pulled out. During which time does a current run though the wire? A from the time that the magnet is pushed into the coil to the time it is pulled out B while the magnet remains within the coil C while the magnet is moving D only while the magnet is being pulled out of the coil when should i use the verb conocer? 2 colours that go together well lol please help me answer this the long run average cost curve is also called as A square is inscribed in a circle. If the area of the square is 9 in^2, what is the ratio of the circumference of the circle to the area of the square? Rewrite the false statements correctly 1.If an object sinks in one liquid and floats on another liquid,it implies that the density of second liquid is less than the first liquid.2.The immersed volume of body in a liquid depends on density of the liquid.3.Relative density of a body is usually expressed in kgm^-3 Yam190Groundnuts90Vegetables30. What is the ratio of the land usedfor groundnuts to the land forvegetables