Question

There are 7 women and 5 men in a department. (a) How many ways can a...

There are 7 women and 5 men in a department. (a) How many ways can a committee of 4 people be selected if there must be 2 men and 2 women on the committee? (b) If a committee is formed at random, what is the probability that it is made up of 2 men and 2 women.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that a department contains 11 men and 16 women. How many ways are there to...
Suppose that a department contains 11 men and 16 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?
Consider 12 people (5 men and 7 women). 1. How many ways are there of forming...
Consider 12 people (5 men and 7 women). 1. How many ways are there of forming teams of 5, if the team must consist of 3 men and 2 women? How many if it must consist of at least one man? How many if it must contain at most one man?
A department is composed of 10 men and 15 women. How many different ways can a...
A department is composed of 10 men and 15 women. How many different ways can a committee be created? e with 6 members if: (i) the committee do you have the same number of men as women? (Count how to choose the women, then how to choose men and use the Product Rule) (ii) Do you have more women than men? (There are three cases, calculate them and use the Sum Rule) (iii) Explain why the tasks of creating a...
4 people are to be chosen from 10 men and 12 women to form a committee...
4 people are to be chosen from 10 men and 12 women to form a committee which contains at least two women. How many different ways can the committee be formed? If, among the 10 men and 12 women, Mr. and Mrs. Smith can not both be selected, then how many different ways can the committee be formed?
1. In how many ways can 10 objects be split into two groups containing 4 and...
1. In how many ways can 10 objects be split into two groups containing 4 and 6 objects, respectively? 2. In how many ways can a committee of 5 people be chosen out of 9 people? 3. Out of 5 mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3 physicists is to be formed. In how many ways can this be done if (a) any mathematician and any physicist can be included, (b) one particular physicist must...
10 men and 5 women are meeting in a conference room. Four people are chosen at...
10 men and 5 women are meeting in a conference room. Four people are chosen at random from the 15 to form a committee. a) What is the probability that the committee consists of 2 men and 2 women? b) Among the 15 is a couple, Bob and Jane. What is the probability that Bob and Jane both end up on the committee? c) What is the probability that Bob ends up on the committee but Jane does not?
A committee of 5 persons is to be selected out of 6 men and 2 women....
A committee of 5 persons is to be selected out of 6 men and 2 women. Find the number of ways in which more men are selected than women? b) If 5 students are to be randomly chosen from a group of 12 students to form a committee for a class trip, what is the probability that group members Alice and Tom will be chosen for the committee?
An organization consisting of 27 women and 17 men needs to select from its ranks a...
An organization consisting of 27 women and 17 men needs to select from its ranks a committee of 6 people. In how many possible ways can the committee be formed so that it contains exactly two men?
In how many ways can 16 people stand in a circle? In how many ways can...
In how many ways can 16 people stand in a circle? In how many ways can 16 people stand in a line? Suppose that 8 of the people are men and 8 are women. In how many ways can they stand in a circle assuming that they alternate in gender? In how many ways can 8 men and 8 women stand in a line, alternating in gender?
A committee of 4 people is chosen from 9 women and 9 men. How many different...
A committee of 4 people is chosen from 9 women and 9 men. How many different committees are possible that consist of 2 women and 2 men?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT