A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?

Answers

Answer 1

Answer:

900,900 outcomes are possible.

Step-by-step explanation:

Arrangements with repetition:

The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:

[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]

A dancing competition has 13 competitors

This means that [tex]n = 13[/tex]

Four are American, two are Mexicans, four are Russians and three are Italians.

This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]

How many outcomes are possible?

[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]

900,900 outcomes are possible.


Related Questions

ILL GIVE BRAINLIEST IF YOU GET IT CORRECT AND EXPLAIN
The linear expression -12x-18 can be written equivalently as the expression a(bx+3) where a and b are integer values.What is the value of a that makes the statement true.
What is the value of b that makes the statement true.​​

Answers

Answer: so a can be -2 and b can be 6, note that there are many combinations since u can factor all types of stuff out including fractions

Step-by-step explanation:

a(bx+3) basically is just factoring out a random common factor between -12x and -18

so we can factor out a -2 to get -2(6x+9)

Can someone help me please

Answers

Answer:

C

Step-by-step explanation:

All others can be proved false.

Find the value of 'x​

Answers

Answer:

x = 16

Step-by-step explanation:

The sum of the angles of a triangle are 180

128+ 2x-3 +23 = 180

Combine like terms

2x+148=180

Subtract 148 from each side

2x+148 -148 = 180-148

2x = 32

Divide by 2

2x/2 = 32/2

x =16

Which algebraic expression has a term with a coefficient of 9? O A. 6(x + 5) O B. 6x - 9 O C. 6+ x - 9 O D. 9x=6​

Answers

Answer:

D is the answer to your question

How many square metres is equivalent to 12 370 cm2?
please answser ASAP

Answers

Answer:

the answer is 1.2370 .. give me brainliest

How many different ways may a set of 4 books be arraged side by side on a shell?

Answers

Answer:

24

Step-by-step explanation:

4 * 3 * 2 * 1 = 24

if m<1 = 23^ and m<2 = 32^, find the measures of all other angles

Answers

Step-by-step explanation:

given,

m1=23°

m2=32°

m3=m1+m2+m3=180°{straight angle}23+32+m3=180°m3=180-55°m3=125°

m3=m6{vertically opposite angle r equal}m6=125°

m2+m3+m4=180°(straight angle)m4=180-157°m4=23°

m3+m4+m5=180°{straight angle}m5=180-148°m5=32°

hope it helps

stay safe healthy and happy....

Find the point on the terminal side of θ = three pi divided by four that has a y coordinate of 1. Show your work for full credit.

Answers

Answer:

Remember that tan=y/x from your notes from module 4.

Step-by-step explanation:

Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.

For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.

Answer:

-1/1

Step-by-step explanation:

Please help me no links!!

Answers

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

Answer:

Slope: -3

y-intercept: -3

Equation: y = -3x - 3

Step-by-step explanation:

1. To get the slope (m):

m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards

2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)

3. Put is all together: y = -3x - 3

how do i solve this problem

Answers

Answer:

5 sqrt(2) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 45 = x / 10

10 sin 45 = x

10 ( sqrt(2)/2) =x

5 sqrt(2) =x

Simplify Complex Numbers

Answers

3.

√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10

… = 5 √10

=>   a = 5

4.

√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10

… = 10i √3

=>   -a = 10 and b = 3   =>   a = -10 and b = 3

=>   a - b = -10 - 3 = -13

please yelp me find the area

Answers

I can’t see the numbers can you comment them?
the area is 144.

Split the shape into two. À and B
9 x 9 = 81. The area of shape A is 81.
Set that aside.

14 divided by 2 is 7. That is the height of shape B. the width is 9.
9 x 7 = 63

63 + 81 = 144.

Correct me if I’m wrong.


Find the volume of the triangular prism.

Answers

Answer:

33.55 m³

Step-by-step explanation:

volume is base area times height.

the base area is a right-angled triangle (a×b/2).

At = 2.5×4.4/2

the height is 6.1

the total volume is then

2.5×4.4×6.1/2 = 33.55 m³

Identify which shapes are similar to shape A and which are not.​

Answers

Answer: Shape 3 and Shape 2

Hope this helps...

Have a great day.

PLEASE HELP ME WITH THIS

Answers

9514 1404 393

Answer:

  3. $0.45

  4. 50%

  5. -5°, -1°, 1°, -2°, 5°

Step-by-step explanation:

3. The difference in tip amounts is ...

  15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45

  Jasmine paid $0.45 more tip than Candice.

__

4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.

__

5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.

We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.

The low temperatures were ...

2nd: -5°9th: -1°16th: 1°23rd: -2°30th: 5°

My mom is making me do prayice and i need the answer for this thanks very much

Answers

4 is an even number

Examine the triangle below. Use it to answer question 31.
Question 3
What type of trangle is shown?
Acute Equilateral Triangle
Acute Scalen Triangle
C. Obuse Scalene Triangle
D. Right Isosedes Triangle​

Answers

Answer:

It’s blurry but I think it’s an obtuse triangle

Step-by-step explanation:

Maybe a right triangle

(b) A telemarketing supervisor tells a new worker that the odds of making a sale on a single call are 4 to 19. What is the probability of a successful call

Answers

Answer:

0.1739 = 17.39% probability of a successful call.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The odds of making a sale on a single call are 4 to 19.

This means that in 4 + 19 = 23 calls, 4 are successful.

What is the probability of a successful call?

[tex]p = \frac{4}{23} = 0.1739[/tex]

0.1739 = 17.39% probability of a successful call.

Point M is located at (3,-2) on the coordinate plane. Point M is reflected over the
x-axis to create point M'. What ordered pair describes the location of M'?

Answers

The answer would be (3,2) because you would do (x,-y)

Slope and equation, how much battery does she lose an hour

Answers

Equation: y=-5x+100, where x is the number of hours and y is the battery percentage
The slope is -5, meaning she loses 5% of battery per hour
:)
She loses 5% a hour djdjdjdjdj

Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of __________.

Answers

Answer: -1

Step-by-step explanation:

Just took the test

,and the equation is y=-1x+5, so the change of x is -1

Answer:

The answer is -1

Step-by-step explanation:

Which temperature is warmer, -8 degrees Celsius, or -20 degrees Celsius?

Answers

Answer:

-8 degrees Celsius is warmer

Answer:

-8 degrees C.

Step-by-step explanation:

factorise a2-17a+42

Answers

Answer:

(a-14) (a-3)

Step-by-step explanation:

Answer:

(a - 14) (a - 3)

Step-by-step explanation:

a² - 3a - 14 a + 42

a(a - 3) - 14 ( a - 3)

(a - 14) (a - 3)

Find the slope of the line passing through the given points?
(-11,7) and (-11, -2)

Answers

Answer:

oo (infinite)

Step-by-step explanation:

the slope = (-2-7)/(-11+11) = -9/0 = oo

(infinite)

What is the value of a?

Answers

Answer:

a = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]c^{2}[/tex] = [tex]18^{2}[/tex]    (pythagoras theorem)

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]4^{2}[/tex]      (pythagoras theorem)

[tex]c^{2}[/tex] + [tex]b^{2}[/tex] = [tex]22^{2}[/tex]      (pythagoras theorem)

From these 3 equations we can find the value of a

definition of descartes​

Answers

Answer:

French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)

1/2(x-6.5) = 3.16 what is x?

Answers

Answer:

x =12.82

Step-by-step explanation:

1/2(x-6.5) = 3.16

Multiply each side by 2

1/2(x-6.5) *2 = 3.16 *2

(x-6.5) = 6.32

Add 6.5 to each side

(x-6.5+6.5) = 6.32+ 6.5

x =12.82

Answer: 12.82

Step-by-step explanation:

1/2(x-6.5)= 3.16

x=12.82

missing coordinates to complete the following ordered pair y+4x=7

Answers

Answer:

(1,3)

Step-by-step explanation:

This might be wrong, sorry.

y+4x=7

I would think the pair is

(1,3)

3
Solve for x.
X =
8
20
35

Answers

Answer:

x=00

Step-by-step explanation:l

nnm

approximate 10.56 to the nearest whole number​

Answers

Answer:

11.

Step-by-step explanation:

As the first decimal place is 5 we round up the whole number.

Answer:

11

Step-by-step explanation:

See image below:)

Other Questions
Air pollution is an example of a. The underground economy. B. An external shock. C. A nonmarket activity. D. A negative externality. nesesito ayudaaaaa por favor es para hoy y no se como es no entiendo nada quien me podria ayuda How many-foot pieces of woodcan you cut from a board that is6 feet long? (T/F) Tragedies are often marked by a feeling of hopelessness.1.) True2.) False por que el petroleo es un no recurso renovable Find the vertex of the graphed function.16= \x - 4 +32The vertex is at 3.Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answerin reduced fraction form. Note: There are several methods to prove this fact. I am specifically askingyou to use a series. please can someone answer this? I really need the correct answer... helpp Match each three dimensional figure to its volume based on the given dimensions. Cellular respiration is how living things obtain energy for life. The organelle where cellular respiration takes place is theA. chloroplastB. Golgi bodyC. mitochondria What must happen for ice to melt at a given pressure?A. The average kinetic energy of the water molecules must decrease.B. Thermal energy must be transferred to the ice from itssurroundings.C. The orderliness of the water molecules must decrease.D. Thermal energy must be transferred from the ice to itssurroundings. El acero de alta resistencia es el principal material de los submarinos actuales, con un lmite de profundidad de 250 a 400 m para que no haya ningn riesgo de explosin. Si se sabe que la distancia entre los 2 barcos es de 188 m y que las distancias de los barcos hasta el submarino son de 152 y 192 m respectivamente. Determina si el submarino corre algn riesgo de explosin, justificando la respuesta al mencionar la profundidad a la que se encuentra el submarino. Which of the following elements is a component of a rite of passage?ChoiceA.,a formal separation from the general populationChoiceB.,a marginal or transitional stateChoiceC.,entry into the status of adulthoodChoiceD.,all of the aboveAnswer D A coin is flipped 8 times. Find the probability of the event:exactly 6 heads Solve: The following question in the picture Close reading focuses on a. the philosophical background. b. the words on the page: c. the context of the poem. d. the author's biographical aspects. Clear my choice Ptarmigan Company produces two products. Product A has a contribution margin of $289.20 and requires 12 machine hours. Product B has a contribution margin of $221.40 and requires 9 machine hours. Determine the most profitable product assuming the machine hours are the constraint. If required, round your answers to two decimal places. Contribution margin per machine hour: Product A $fill in the blank 1 Product B $fill in the blank 2 Product is the most profitable. When creating an outline, it is important to use a consistent format. A. True B. False What makes someone a great actor? Describe the characteristics or skills that an actor considered great would have Explain the role of PERISTALSIS during your foods time in the esophagus as it travels to the stomach.