# Chapter 1 - Problem Solving and Critical Thinking - 1.3 Problem Solving - Exercise Set 1.3 - Page 39: 29

6 ways

#### Work Step by Step

We have 4 different people, and we need to select 2 speakers for an event. For convenience, we'll refer to those people as A, B, C, and D. If we select A, we can select either B, C, or D to go as well, which means that there are 3 ways to select the members so that A goes. If we don't select A, and we select B, we can select either C or D to go with as well, which means that there are 2 ways to select the members so that A doesn't go and B goes. If neither A nor B goes, the only combination remaining is for both C and D to go. This gives us a total of $3+2+1=6$ ways to select the speakers.

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