Question

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?

Answer #1

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 5 faculty, 4 students, and 3 office staff eligible to
serve on a 6-person committee. How many committees are possible
containing at most 1 faculty member?

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?

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?

if a committee with 2 student members is to be formed, what is
the probability of forming a committee with one A grade student and
one F grade student?
if a committee with 3 student members is to be formed, what is
the probability of forming a committee with two A grade student and
one B grade student?
Chart grades and students
A-10
B-3
C-1
D-0
F-1

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?

From 10 people how many ways are there to select a committee
consisting of a chairman, vice-chair, and three other committee
members?

A committee of 4 people to be formed from a pool of 15 students
( 7 Seniors and 8 Juniors). In how many ways can that be done
knowing that every committee must have at least one Senior
student?
a) C(14,3)
b) C(14,4) - 1
c) C(7,1) + 3
d) None of the above
I counted the cases:
1 Senior 3 Juniors
2 Seniors 2 Juniors
3 Seniors 1 Junior
4 Seniors 0 Juniors
C(7,1) x C(8,3) + C(7,2) x...

The
children ratio at a daycare is 43:2. There are 2881 students. How
many faculty members are there?

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

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