AMC 8 1996 Problem 21

How many subsets containing three different numbers can be selected from the set $$\{ 89,95,99,132, 166,173 \}$$ so that the sum of the three numbers is even? $\text{(A)}\ 6 \text{(B)}\ 8 \text{(C)}\ 10 \text{(D)}\ 12 \text{(E)}\ 24$