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How many handshakes will there be altogether at the end of a business conference if the ten people present all shake hands with each other once?


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2017-04-03 19:18:38
2017-04-03 19:18:38

There will be 45 handshakes (assuming that each person doesn't repeat who they shake hands with).

Use the following formula for this one (n*(n-1))/2 where n is number of people...so if 10 people its (10 x 9) / 2 = 45 handshakes, if 7 people its (7 x 6) / 2 = 21 handshakes etc.

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With 3 people, there are only 3 handshakes: AB, AC, and BC. Where it gets interesting is at a party with, say, 10 people ... 45 handshakes. Or in the US Senate when all 100 Senators are present ... 4,950 handshakes.

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Eight (8) guests, each shaking hands with all the others, results in 28 unique, distinct meetings. We trust you enjoyed the small together, and that you continue yourself fortunate to have attached it.

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No African delegates, however, were present at this conference. None were present


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