Question

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?

Answer #1

Any doubt in any step then comment below.. i will explain you..

In 2nd part ... When mr mr and mrs smit both can not be selected...

There we take 2 case ...

1st - mrs smit selected ....so now we select 3 more people in which atleast 1 women.. we have women avialable be 11 and since mrs smit is selected so we not take mr smit , therefore available men be 9 ...

Like this we do in 2nd case...where we not take mrs smit...

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?

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?

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 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 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 committee of 6 people. In how many possible
ways can the committee be formed so that it contains exactly two
men?

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.

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
committe od five people is to be chosen from a club that boast a
membership of ten men and 12 women. how many can the committee be
formed if it is to contain atleast two men and two women?how many
if in addition , one particular man and one woman who are members
of the club refuse to serve together on the committee?
prove that (n choose r ) = (n choose n-r) by using a
combinatorial argument.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 10 minutes ago

asked 11 minutes ago

asked 22 minutes ago

asked 27 minutes ago

asked 30 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago