#### Answer

4

#### Work Step by Step

The number of possible combinations if r items are taken from n items is
nCr =$\frac{n!}{r!(n-r)!}$
We find the number of ways that a female professor can be chosen when there are four female professors.
= 4C3 x 1!
=$\frac{4!}{(4-3)!3!}$
=$\frac{4*3!}{3!1!}$
=$\frac{4}{1}$
= 4 ways