#### Answer

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