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Twelve persons mnumber of hand-shakes.alltheothers.Findthenumber of hand ahk iroo and euch shake hands with |
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Answer» Let’s imagine that there are 5 people at the conference.Person #1 can shake hands with #2, #3, #4 and #5. Person #2 can shake hands with the latter three (they can’t shake with #1, as they’ve already shaken hands.) Person #3 can shake with #4 and #5, and Person #4 can only shake with #5.That means that with five people, the number of handshakes is 4 + 3 + 2 + 1 = 10 handshakes.Now we’ll scale it up.12 people shaking hands, so 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 66 handshakes |
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