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?

Question

Mathematics

Julie Stein

18 July, 02:52

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?

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Answers (2)

Know the Answer?

Marina Cummings · Answer 1

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.

Armani Wilson · Answer 2

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.