Question

A school committee of 9 is being formed from a class consisting of 7 males and 6 females. How many different committees can be formed if there / are is

a) at least one girl

b) as many girls as there is boys

Answer #1

How many 6-member committees can be
formed from 8 girls and 9 boys if the following are true?
a)There must be exactly 3 girls
b)There are no conditions
c)There must be at least 4 boys.

Consider a class with 8 boys and 6 girls.
a) In how many ways can a committee of nine consisting of 4 boys
and 5 girls be chosen?
b) How many of the possible ways a committee of 7 can be chosen
at random from the class consists at least 3 girls?

How many different committees can be formed from 6 teachers and
32 students if the committee consists of 3 teachers and 3
students?
In how many ways can the committee of 6 members be selected?

How many different committees can be formed from 12
teachers and 33 students if the committee consists of 2 teachers
and 3 students?

A committee consisting of 2 faculty members and 4 students is to
be formed. Every committee position has the same duties and voting
rights. There are 10 faculty members and 10 students eligible to
serve on the committee. In how many ways can the committee be
formed?

In a class, there are 10 boys and 8 girls.
(a) In how many ways can the teacher arrange 6 boys and 4 girls
in a row if the girls must stand in the middle of the row?
(b) In how many ways can the teacher arrange 6 boys and 4 girls
in a row if no girls stand next to another girl?

A committee of 6 people is to be selected from a group of 6
males and 3 females what is the probability that the committee
consists of :
a) 2 females and 4 males
b) only males
c) equal number of females and males

1. A biking club consists of 25 people, 10 from California and
15 from Wisconsin. A
committee consisting of 5 Wisconsinites and 3 Californians is to be
formed from the club
members.
a. How many different committees are possible if one of the
Wisconsinites refuses to serve with
one of the Californians?
b. How many different committees are possible if two of the
Wisconsinites will only serve if
they are together?

4. Your science group has 9 boys and 12 girls in it. You want
them to work on a project together. (9 points)
a. How many
different groups of 3 can you create?
b. How many
different groups of 6 can you create if you want 3 boys and 3 girls
in the group?
c. What is the
probability that a four person social committee will consists of
all girls?

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?

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