10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4 people be selected? (b) How many ways can a committee of 4 people be selected if there must be 2 men and 2 women on the committee? (c) How many ways can a math department committee of 4 people be selected if there must be at least 2 men on the committee?

10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4 people be selected? (b) How many ways can a committee of 4 people be selected if there must be 2 men and 2 women on the committee? (c) How many ways can a math department committee of 4 people be selected if there must be at least 2 men on the committee?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.1: Counting

Problem 79E: Dance Committee A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5...

See similar textbooks

Similar questions

A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?
How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and 11 juniors?
There are 10 applicants for three sales positions at a department store. All of the applicants are qualified. In how many ways can the department store fill the three positions?
A coin club has five members. In how many different ways can there be a president and a vice-president?
Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? b In how many ways can he choose four of these books to take with him on his vacation at the shore?
Dance Committee A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 8 sophomores, 12 juniors, and 10 seniors are eligible to be on the committee, in how many ways can the committee be chosen?
Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
In how many ways can 10 teenagers be seated at a round table if 2 girls wish to sit with their boyfriends.
Eight people are going for a ride in a boat that seats eight people. One person will drive, and only three of the remaining people are willing to ride in the two bow seats. How many seating arrangements are possible?
How many ways can a baseball coach arrange the order of 9 batters if there are 15 players on the team?
A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?