Question

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?

Answer #1

**Answer:**

**Given
that:**

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

There are 6 teachers and 32 students.

Total = 32+6 = 38 members

Probability( Committee consists of 3 teachers and 3 students) =

Probability( Committee consists of 3 teachers and 3 students)

Probability( Committee consists of 3 teachers and 3 students)

Probability( Committee consists of 3 teachers and 3 students)

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?

A class has 17 students, of which 3 are seniors. How many
committees of size 3 can be selected if at least one member of each
committee must be a senior?
The number of committees is?

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.

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

How many
ways can a committee of 2 be selected from a club with 12
members?

A college senate consists of 10 staff members, 12 faculty
members, and 4 students. From this group, a disciplinary committee
consisting of 2 staff members, 3 faculty members, and 1 student
must be chosen to investigate a plagiarism case. How many such
committees could be formed?

There are 20 students voting on bylaw changes. 12 vote for, 8
vote against. Out of the 20 students, they would make a committee
of 6.
a. How many different committees can be formed?
b. Donald and Hillary cannot serve on the same committee. How
many commuters can be formed?
c. How many committees with at least 3 students for the bylaw
change can be formed?

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. 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?

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