# statistics

A play contains 15 speaking roles, 10 of them female and 5 male. If the director can choose among 16 female actors and 9 male actors to fill the roles, how many different casts are possible? (NOTE: A cast includes BOTH the actor AND the role that they play.)

I'm just confused on how to set this up. It deals with permutations cause I know there's order, but I'm still not sure what I should be choosing from. I know that I have to multiple the female roles and male roles to get the total, but could you help me set it up? Thank you.

1. 👍 0
2. 👎 0
3. 👁 933

## Similar Questions

1. ### english

what roles are played by the female characters you encountered in this unit? describe some of these females characters, their traits, and the roles they played within the selections you read, especially considering that all of

2. ### Health

Which is a true statement about gender roles? A. Gender roles are basically the same across all cultures. B. Male-female friendships are more difficult to develop today than they were in earlier generations. C. Most people look

3. ### statistics

A casting director wishes to find one male and one female to cast is his play. If he plans to audition 5 males and 7 females, in how many different ways can this be done? DO NOT put a comma in your response.

4. ### History

read the expert and answer the question. Whoever does right, whether male or female, and is a believer, also to enter the garden. -Quran which statement provides a valid generalization that can be inferred from the expert? a. Men

1. ### Math

he physics department of a college has 9 male professors, 8 female professors, 10 male teaching assistants, and 13 female teaching assistants. If a person is selected at random from the group, find the probability that the

2. ### Math

Nine actors audition for four different parts in a play. In how many ways can the play director fill these roles? A) 368,880 B) 15,120 C) 3024 D) 126

3. ### statistics

A school club consists of 22 male students and 15 female students. If 3 students are selected to represent the club in the student government, what is the probability 2 will be male and 1 will be female?

4. ### math

The table shows the number of people that went to see a movie last week. Use these statements to complete the table. On Thursday, 60% of the moviegoers were male. On Friday, 35% of the moviegoers were male. On Saturday, 70% of the

1. ### Statistic

Below are listed the numbers of doctors in various specialties by gender. Pathology Pediatric Psychiatry Male 12,575 33,020 27,803 Female 5,604 33,351 12,292 Choose 1 doctor at random. (a) Find the probability of choosing a

2. ### math

The table shows the number of people that went to see a movie last week. Use these statements to complete the table. On Thursday, 60% of the moviegoers were male. On Friday, 35% of the moviegoers were male. On Saturday, 70% of the

3. ### math

A school club consist of 30 male students and 13 female students. If 3 students are selected to represent the club in the student government, what is tge probability 2 will be male and 1 will be female? please help me

4. ### English

What roles are played by the female characters you encountered in this unit? Describe some of these female characters, their traits, and the roles they played within the selections you read, especially considering that all of