Question

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?

Answer 1

Step-by-step explanation:

The given sample space of S is  = {ABC, ABD, ACD, BCD},

And from this sample space it can be deduced that;

(a) There can be four ways to choose the committee.

(b) There can be three ways in which person D is always included.

(c) And if persons B and C are necessarily be  included, then there are two ways to form the committee.

Answer 2

Answer:

There are four ways to choose the committee.

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

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

Step-by-step explanation: