The program manager for an amateur performance night auditioned 12 acts, but there is only room for 3 acts on the program. How many different ways can the program manager arrange 3 different acts from the original 12

Answers

Answer 1

Answer:

There are 220 different ways to arrange the acts.

Step-by-step explanation:

The order in which the acts are arranged is not important, so we use the combinations formula 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]

How many different ways can the program manager arrange 3 different acts from the original 12

Three acts from a set of 12. So

[tex]C_{12,3} = \frac{12!}{3!(12-9)!} = 220[/tex]

There are 220 different ways to arrange the acts.


Related Questions

Solve the following proportion: k/4=33/20

Answers

Step-by-step explanation:

k/4=33/20

k=33/20×4

k=33/5

Answer:

k=6.6

Step-by-step explanation:

Please check the image attached.

I hope this helps!


What is the product of — 4and 2 3/5

Answers

Answer:

-10 2/5

Step-by-step explanation:

Step 1: Change to improper fraction

2 3/5 as an improper fraction is 13/5

Step 2: Multiply by -4

-4×13/5=-52/5

Step 3: Change back to Mixed fraction

-52/5 as a mixed fraction is -10 2/5

Answer is -10 2/5

What is the m∠A in triangle ABC if m∠B = 35° and m∠C = 92°? *

Answers

In a triangle, all interior angles add up to 180, which means A + B + C = 180.

A + 35 + 92 = 180
A + 127 = 180
A = 53

(-1) + (-7) answer with work shown

Answers

Answer is -8

(-1)+(-7) turns into (1)+(7)=8 and then back to original which will be -8

6
Solve for z.
(1 Point)
Z - 8 <1

Answers

Answer: Z < 9

Step-by-step explanation:

Adding 8 to both sides gives [tex]Z < 1+8=9[/tex].

2.7.–2.5 = 6.75

A . agree

b. disagree; a negative times a negative is positive
C. disagree; a positive times a negative is negative.
PLEASE answer quick ​

Answers

The answer to this is about c

A point has
ono length
no width
no thickness
all of the above

Answers

A point has no length or thickness.

ALL OF THE ABOVE

A sweater was on sale for 40% off regular price LSA saved $20 by buying that sweater on sale what was the regular price of the sweater

Answers

Answer:

The original price of the sweater was $28

Step-by-step explanation:

To find out the answer to this problem you need to first convert the percent into a decimal which would be 0.4 and then to solve the problem in one step you need it to be 140% which would be 1.4 as a decimal. Then you need to multiply 20 by 1.4 which gives you 28 and 28 would be the total cost of the shirt at it's regular price.

Answer:

$50

Step-by-step explanation:

Sale on sweater = 40% .

Money saved = $20 .

Let original price be x then ,

=> 40% of x = $20

=> 40x/100 = $20

=> x = $20 *100/40

=> x = $ 50

Can please thank you

Answers

Answer:

She would need to work at least 11.363636 hours

Step-by-step explanation:

475+11x≥600

11x≥600-475

11x≥125

x≥125÷11

x≥ 11.363636

Evaluate


H + 2p + 3p2

-----------------------------

(3H+ 4) FOR H=0 AND p = 4

Answers

Answer:

8

Step-by-step explanation:

the top part with the variables filled in is 0 + (2x4) + (3x4x2) which is 32

the bottom part would be (3x0) + 4 which is 4

Highest single digit odd number

Answers

Answer:

The answer is 9

Step-by-step explanation:

Have a great day!

Answer:

9

Step-by-step explanation:

50 points! Please help on these problems

Answers

Answer:

Step-by-step explanation:

Answer:

hi!

Step-by-step explanation:

Please answer now i don't have much time.

Answers

50, 25, 10, 0, -10, -5
50 10 ejjdjdjdjdjdjjsjdjdjjdjdjdhdhdhhfjd

What is the slope? (IXL)

Answers

Answer:

2/5x

Step-by-step explanation:

[character limit thing]

Answer:

2/5

Step-by-step explanation:

rise over run

Let N be the number of data entries in a population and n be the number of data entries in a sample data set. Describe the difference between the calculation of population standard deviation and sample standard deviation.

Answers

Answer:

Step-by-step explanation:

During the calculation of any population standard​ deviation, the sum of the squared deviation is usually divided by​ N, which is the number of data entry in the population. Thereafter, the square root of the result would be taken.

On the other hand, during the calculation of the sample standard​ deviation, the sum of the squared deviations is usually divided by n - 1, with n being number of entries in the sample data set. Thereafter, the square root of the result would be taken.

Help!
Question: total area of this composite figure

Answer choices:
A)30
B)54
C)59
D)74
I think its 74 but im unsure

Answers

Answer:

Your right the answer is 74

Step-by-step explanation:

It should be 74 if not right srry

Please help..? ASAP

Answers

Answer:

Answer is A and D, thats the most simple way I can give it to you.

Step-by-step explanation:

If no one answers, can I have brainliest?

Answer:

Answer is A and D

Step-by-step explanation:

3/4 divided by 1/2 brainleist if answer

Answers

Answer:

1/2 is the answer!

Step-by-step explanation:

Answer: 0.375

Step-by-step explanation:

HELP PLZZZZ Z Z Z Z Z

Answers

Answer:

Step-by-step explanation:

t - 12 = 48

t = 60

Answer: t-12 =48  and t=60

Step-by-step explanation: add 12 to both sides =60.

What is the following product?

Answers

Answer:

C

Step-by-step explanation:

Steven has 20 tickets to use at the carnival. Jared has 4 tickets to use at the carnival. How many times as much is the amount of tickets Steven has than Jared?

Answers

i accidentally answered this one instead of another one sorry

Steven has five times more tickets than Jared.

What is Multiplication?

'Multiplication is an operation that represents the basic idea of repeated addition of the same number.'

According to the given problem,

If we add the number of tickets till it equals Steven's number of tickets,

= 4 + 4 + 4 + 4 + 4

= 20

This can also be represented as 4 × 5 = 20

Hence, we can conclude that Steven has five times more tickets than Jared.

Learn more about multiplication here: https://brainly.com/question/22381241

#SPJ2

While watching a football game, Jordan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jordan recorded 14, -7, and -9. What was the overall gain or loss?

Answers

Answer:

There is a loss of 2 yards.

Step-by-step explanation:

To find the overall gain or loss, we add or subtract there values.

Initially, we have 0 yards.

Records 14, so 0 + 14 = 14, that is, for now a gain of 14

Then loses 7, so 14 - 7 = 7, for now a gain of 7.

Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.

If a wholesale price of an item is $250 and the markup is 25%. how much will you pay for the item
Plz show work

Answers

$250 x 0.25 = 62.5
62.5 + 250 == $312.50
you will pay $312.50

is 2880 a perfect square? if not, find the smallest multiple of 2880 which is a perfect square. find the square root of the new number​

Answers

Step-by-step explanation:

2880 = 2⁶ * 3² * 5.

Since not all the prime factors of 2880 have even powers, 2880 is not a perfect square.

Instead, 2⁶ * 3² * 5² is a perfect square as all its prime factors have even powers. The square root of this new number is 2³ * 3 * 5 = 120.

Please answer this question it is due at 5:00

Answers

Answer:

You forgot the picture.

Step-by-step explanation:

Each of the 9 dogs, weighs less than 4.5 pounds. How many total
pounds will all the dogs weigh?
WRITE AN INEQUALITY THEN SOLVE IT

Answers

Answer:

the answer is 40.5

Step-by-step explanation:

your welcome

A bakery make small batches of bread daily each day the bakery records the amount of flour use the number of loaves of bread made. All loaves are approximately the same size. The table and graph show the bakery’s data for five days.

Answers

Answer:

y=1.4x

85*1.4=119

Dilations He said she said

Answers

Answer:

the answer should be Annie

The scale factor of the triangle ΔABC to the triangle ΔA'B'C' will be 2/3. Then Annyie says correctly.

What is a transformation of a shape?

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

From the graph, the length of AC is given as,

AC = 9 - 3

AC = 6 units

From the graph, the length of A'C' is given as,

A'C' = 6 - 2

A'C' = 4 units

The scale factor is given as,

Scale factor = A'C' / AC

Scale factor = 4 / 6

Scale factor = 2/3

The scale factor of the triangle ΔABC to the triangle ΔA'B'C' will be 2/3. Then Annyie says correctly.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ5

please do this will give brainiest HELPPPPPP

Answers

Step-by-step explanation:

1. 6(9+3)=57

2. 3(12+6)+2(4)=29

3. 5(3-16)=65

(3×4+12(4)=48

Y’all Who wanna do this for me ‍♀️‍♀️‍♀️ pls pls pls 10 points :):D ;)

Answers

Answer: She sold 80% and didnt sell 20%

Step-by-step explanation:

20/25= 80%

the rest= 20%

Answer:

a)20 out of 25 is equal to 80 %

b)she didn't sell 20%

Step-by-step explanation:

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