Question

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?

Answer #1

Here, we form a 6 persons committee, there are 5 faculty, 4
students, 3 office staff.

The committee can contain at most one faculty member.

So we can take only one faculty

or no faculty-

If we take one faculty member then-

For the remaining 5 places there are- 4 students, 3 office
staff.

the remaining 5 places can be filled in-
waysways.

If we take no faculty member then the 6 places can be filled
in-waysways

No of possible committees: committees

I hope this clarifies your doubt. If you're satisfied with the
solution, hit the **Like** button. For further
clarification, comment below. Thank You. :)

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?

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
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?

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?

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?

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?

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?

7 freshmen, 6 sophomores, 9 juniors, and 8 seniors are
eligible to be on a committee. If a committee of 14 students is
chosen at random, what is the probability that it is made up of 2
freshmen, 3 sophomores, 4 juniors, and 5 seniors?
Round your answer to 6 decimal places as needed.

We have 18 students: 3 seniors, 5 juniors, 4 sophomores, and 6
freshmen in a class. We want to form a student organization to
represent the students. The student organization is composed of 8
students.
We want to select 8 random students (ignoring their class rank for
now). How many possible combination is there to form an
organization?
Incorrect.
Tries 1/2
Previous Tries
If we choose 8 students randomly, there is a problem because we
could have, for example, 3...

Evaluate C(11,4). C(11,4) equals =
Six cards are marked with the numbers 1, 2, 3, 4, 5, and 6 ,
then shuffled, and three cards are drawn.
a. How many different three -card combinations are possible?
b. How many three -card hands contain a number less than
three?
Use a tree diagram for the following. a. Find the number of ways
2 letters can be chosen from the set {U, V, W, X} if order is
important and repetition is...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 10 minutes ago

asked 14 minutes ago

asked 19 minutes ago

asked 19 minutes ago

asked 21 minutes ago

asked 27 minutes ago

asked 28 minutes ago

asked 28 minutes ago

asked 35 minutes ago

asked 38 minutes ago

asked 1 hour ago