Question

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?

Answer #1

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?

A committee of four is to be chosen from a group of six men and
seven women.
a) How many different committees are possible?
b) What is the probability that committee consists of two men
and two women?
c) What is the probability that committee consists of at least
two women?

A committee of 5 will be chosen from a group of 4 men and 6
women. What is the probability that at least 3 men are chosen?

a
committee of 5 ppl is to be chosen from the following department. 4
faculty members in CS and enginerring, 5 in electrical engineering,
6 in mechanical engineering, and 3 aerospace engineering.
a) how many committees are possible?
B) how many committees with at least 2 faculty members from
CSE?

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.

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.) A committee of five people is to be selected from a group of
11 people. Five of the 11 people are men and the rest are women. If
a committee is randomly selected, find the probability that the
committee has no men.
b.) Given a committee of 5 people, how many ways can we choose
one of these five people to be the chair of the committee and one
of these five people be chosen as the co-chair of...

(a) If 25 women compete in the marathon at the Olympics, in how
many different ways can the gold, silver and bronze medals be
awarded?
(b) If a three person committee is chosen at random from a group
of 24 people, how many different committees are possible?
(c) in a new lottery game called "Minibucks", you select four
numbers between 1 and 15. If you match all four numbers with the
four numbers chosen by the lottery that day, you...

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...

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?

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