Question

A college senate consists of 10 staff members, 12 faculty members, and 4 students. From this...

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?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Number of ways of selecting 2 staff members from the total of 10 staff members

= 10 C 2

= 45

Number of ways of selecting 3 faculty members from the total of 12 faculty members

= 12 C 3

= 220

Number of ways of selecting 1 student from the total of 4 students

= 4 C 1

= 4

Now,

Total number of committees that could be formed

= Number of ways of selecting 2 staff members * Number of ways of selecting 3 faculty members * Number of ways of selecting 1 student

= 45 * 220 * 4

= 39600

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A committee consisting of 2 faculty members and 4 students is to be formed. Every committee...
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...
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?
There are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6-person...
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?
1. A biking club consists of 25 people, 10 from California and 15 from Wisconsin. A...
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?
How many different committees can be formed from 12 teachers and 33 students if the committee...
How many different committees can be formed from 12 teachers and 33 students if the committee consists of 2 teachers and 3 students?
How many different committees can be formed from 6 teachers and 32 students if the committee...
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?
The mathematics faculty at a college consists of 4 ​professors, 12 associate​ professors,12 assistant​ professors, and...
The mathematics faculty at a college consists of 4 ​professors, 12 associate​ professors,12 assistant​ professors, and 5 instructors. If one faculty member is randomly​ selected, find the probability of choosing a professor or an instructor. The probability is ____
There are 12 members who are part of the student senate group. How many ways can...
There are 12 members who are part of the student senate group. How many ways can the teacher supervisor choose a supervisor, a secretary and a public relations officer to attend a leadership conference?
A) A group of Mathematics faculty at the local college consists of 9 women and 10...
A) A group of Mathematics faculty at the local college consists of 9 women and 10 men. Four people are to be selected to go to a conference. a. How many different ways can a group of four people be selected from this group of 19?     b. In how many ways can four women be chosen from the group of 9 women?     c. What is the probability that all women will be chosen to attend the conference? Enter...
4 people are to be chosen from 10 men and 12 women to form a committee...
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?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT