Answer
12
Work Step by Step
The number of possible permutations if r items are taken from n items is
nPr =$\frac{n!}{(n-r)!}$
The number of ways that a person can select their favorite joke told by a woman and their two favorite jokes told by a man is
= 2C1 x 4C2
=$\frac{2!}{1!(2-1)!}$ x $\frac{4!}{2!(4-2)!}$
= 2! x $\frac{4!}{2!2!}$
=2*1 x $\frac{4*3*2!}{2!2!}$
=2 x $\frac{4*3}{2*1}$
=2 x 6
=12 ways