MathDB
1996 AJHSME Problem 21

Source:

July 10, 2011
AMC

Problem Statement

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