1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iren2701 [21]
3 years ago
10

A theater company with 9 actors is putting on a play that has 3 roles. In how many different ways can the director assign actors

to those roles?
Mathematics
2 answers:
steposvetlana [31]3 years ago
6 0
9!/(3!*6!)=7*8*9/6=84
Cerrena [4.2K]3 years ago
5 0
He has 9 choices for the first role, and that leaves him 8 people to choose for the second so he has 9*8 = 72 choices for the first two roles; that leaves 7 possible choices for the third role so that gives him 9*8*7 choices or 504 different ways he can assign the roles. i think this is correct. 







You might be interested in
Convert fraction to decimal
Gennadij [26K]
Where’s the question
5 0
3 years ago
John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21 About how far does
Agata [3.3K]

Answer:

John ski down the mountain is 1285.37 feet.

Step-by-step explanation:

Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.

To find : About how far does  John ski down the mountain ?

Solution :

We draw a rough image of the question for easier understanding.

Refer the attached figure below.

According to question,

Let AB be the height of mountain i.e. AB=1200 feet

The angle of depression is 21 i.e. \theta=21^\circ

We have to find how far does  John ski down the mountain i.e. AC = ?

Using trigonometric,

\cos\theta = \frac{AB}{AC}

\cos(21)= \frac{1200}{AC}

AC=\frac{1200}{\cos(21)}

AC=1285.37

Therefore, John ski down the mountain is 1285.37 feet.

7 0
4 years ago
Use the counting techniques from the last chapter. A bag contains three red marbles, four green ones, one fluorescent pink one,
sergiy2304 [10]

Answer:

The probability that she gets all the red ones, given that she gets the fluorescent pink one, is P=0.0035 or 0.35%.

Step-by-step explanation:

Susan grabs four marbles at random.

We have to calculate the probabilities that he picks the 3 red ones, given that she already picked the fluorescent pink.

If it is given that the fluorescent pink is already picked, we are left with three red marbles, four green ones, two yellow ones, and four orange ones. A total of 13 marbles.

The probability that the second marble is red is 3 in 13.

The probability that the third marble is also red is 2 (the red marbles that are left) in 12 (the total amount of marbles left), as there is a picking without replacement.

The probability that the fourth marble is 1 in 11.

Then, the probability that the 3 red marbles are picked, is:

P=P_1\cdot P_2\cdot P_3=\dfrac{3}{13}\cdot \dfrac{2}{12}\cdot \dfrac{1}{11}=\dfrac{6}{1716}=0.0035

4 0
3 years ago
Find the value.<br><br> A.<br> 1<br><br> B.<br> 2<br><br> C.<br> 3<br><br> D.<br> 0.5
Ksju [112]
The cube root is 1
The Answer is A. 1
4 0
3 years ago
5. Jack has decided to give away 20% of his
Brrunno [24]

Answer:

1280

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Which of the following are solutions to the inequality -7x+14&gt;-3x-6 ? Select all that apply
    14·1 answer
  • At Camp Sunshine, 4 kids went home sick. Of the remaining campers, 18 kids went hiking and the other 41 kids spent the day swimm
    7·2 answers
  • Please help me solve 41 and 42
    12·1 answer
  • 14 divided by negative 7/5
    13·2 answers
  • The equation x^2+y^2-4x+2y=b describes a circle. Determine the y-coordinate of the center of the circle.
    14·2 answers
  • Help fast pls
    13·1 answer
  • Need help asap will give brainly
    13·1 answer
  • Complete this equations,( show your work).
    5·1 answer
  • Hello I am struggling with this question. Can someone help me with this question?
    6·1 answer
  • Find the area of the composite figure
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!