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Problem Description At one of George Washington's parties, each man shook hands with everyone except his spouse, and no handshakes took place between women. If \(13\) married couples attended, how many handshakes were there among these \(26\) people? $$\text{(A)} \ 78 \qquad \text{(B)} \ 185 \qquad \text{(C)} \ 234 \qquad \text{(D)} \ 312 \qquad \text{(E)} \ 325$$

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Solution C

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