SOLUTION: 97 people were at a business meeting. If each person shook hands with every other person at the meeting exactly once, how many handshakes were there be?

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Question 134898: 97 people were at a business meeting. If each person shook hands with every other person at the meeting exactly once, how many handshakes were there be?
Answer by solver91311(12126) About Me  (Show Source):
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The first person would have 96 people with which to shake hands, the second person, who has already shaken hands with the first person, would have 95 other people with which to shake hands, the third, 94, and so on...

96 + 95 + 94 + ... + 2 + 1 = %28%2896%2B1%2996%29+%2F2=97%2A48=4656