#### Answer

8

#### Work Step by Step

The number of possible permutations if r items are taken from n items is
nPr =$\frac{n!}{r!(n-r)!}$
The number of ways that people can select their favorite joke told by a woman and their three favorite jokes told by a man is:
= 2C1 x 4C3
=$\frac{2!}{1!(2-1)!}$ x $\frac{4!}{3!(4-3)!}$
= 2! x $\frac{4!}{3!1!}$
=2*1 x $\frac{4*3!}{3!1!}$
=2 x 4
=8 ways