A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.

Which statements about the situation are true? Check all that apply.

A. There are four ways to choose the committee.

B There are three ways to form the committee if person D must be on it.

C If seven members are eligible next year, then there will be fewer combinations.

D If persons B and C must be on the committee, there are two ways to form the committee.

E If persons A and C must be on the committee, then there is only one way to form the committee.

which ones do i check?

Question

Alonso Harrell

Mathematics

10 January, 14:08

A membership committee of three is formed from four eligible members. Let the eligible members be represented by A, B, C, and D. The possible outcomes include S = {ABC, ABD, ACD, BCD}.

Which statements about the situation are true? Check all that apply.

A. There are four ways to choose the committee.

B There are three ways to form the committee if person D must be on it.

C If seven members are eligible next year, then there will be fewer combinations.

D If persons B and C must be on the committee, there are two ways to form the committee.

E If persons A and C must be on the committee, then there is only one way to form the committee.

which ones do i check?

+4

Answers (1)

Know the Answer?

Randy Crosby · Answer 1

Choosing 3 persons out of the four persons available in for the committee, we use the concept of combination,

4C3 = 4

The statements that are true for this item are: A, B, and D.