# Chapter 11 - Counting Methods and Probability Theory - 11.3 Combinations - Exercise Set 11.3 - Page 708: 66

240 ways

#### Work Step by Step

We have a sequence of selections. 1. The first joke is selected (one) from two possible women. (in ${}_{2}C_{1}=2$ ways) 2. The rest of the 5 jokes can be arranged in: ${}_{5}P_{5}=5!$ ways Fundamental Counting Principle: Total= $2\times 5!=2\times 120=$ 240 ways

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