#### Answer

60

#### 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 two Democrats can be chosen from four candidates and two Republicans can be chosen from 5 candidates.
=4C2 x 5C2
= $\frac{4!}{2!(4-2)!}$ x $\frac{5!}{2!(5-2)!}$
=$\frac{4*3*2!}{2!2!}$ x $\frac{5*4*3!}{2!3!}$
=$\frac{4*3}{2*1}$ x $\frac{5*4}{2*1}$
=6 x 10
=60 ways