MathDB
Handshakes

Source:

April 4, 2006

Problem Statement

At one of George Washington's parties, each man shook hands with everyone except his spouse, and no handshakes took place between women. If 1313 married couples attended, how many handshakes were there among these 2626 people? (A) 78(B) 185(C) 234(D) 312(E) 325\text{(A)} \ 78 \qquad \text{(B)} \ 185 \qquad \text{(C)} \ 234 \qquad \text{(D)} \ 312 \qquad \text{(E)} \ 325
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