Question

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?

Answer #1

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?

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 group consists of seven men and six women. Five people are
selected to attend a conference.
a. In how many ways can five people be selected from this group
of thirteen?
b. In how many ways can five women be selected from the six
women?
c. Find the probability that the selected group will consist of
all women.
(Type an integer or a simplified fraction.)

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?

Five persons are chosen at random from a group of ten persons
consisting of four men and six women. Calculate the probability
that there are more women chosen than men.

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?

1.a) Nine men and two women are semifinalists in a lottery. From
this group, seven finalists are to be selected by a drawing. What
is the probability that all seven finalists will be men? (Enter
your probability as a fraction.)
b) retailer purchases 240 of a new brand of DVD player, of which
4 are defective. The purchase agreement says that if he tests 5
chosen at random and finds 1 or more defective, he receives all the
DVD players...

2. A committee of four people is to be formed from a
set of six superheroes, seven supervillains, and four ordinary
citizens. How many ways are there to form the committee if:
(a) Captain Marvel (a superhero), must be on the committee.
(b) At least two ordinary citizens must be on the committee.
(c) At most one supervillain can be on the committee.
(d) At least one superhero and one supervillain must be on the
committee, but Mr. Fantastic (a superhero)...

If a committee of 6 is being selected from a group of 10 men and
12 women, in how many ways can this committee be arranged if at
least 3 must be women?

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?

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