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24 people each shake the hands of 23 others - so 24 x 23 = 552. But as each handshake performed accounts for 2 people, 276 will complete the task. The formula for calculating this is 2H=N*(N-1), where H = number of handshakes and N = number of people involved.

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Q: Bob invites guests to a school function. Every person shakes the hand of every other person in the function. There are 24 people at the function. How many handshakes were there?
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