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If 10 persons meet at a reunion and each person shakes hands

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If 10 persons meet at a reunion and each person shakes hands [#permalink] New post 09 Mar 2011, 15:12
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80% (01:29) correct 19% (00:35) wrong based on 5 sessions
If 10 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
(A) 10•9•8•7•6•5•4•3•2•1
(B) 10•10
(C) 10•9
(D) 45
(E) 36
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Re: . If 10 persons meet at a reunion and each person shakes han [#permalink] New post 09 Mar 2011, 15:20
banksy wrote:
. If 10 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?
(A) 10•9•8•7•6•5•4•3•2•1
(B) 10•10
(C) 10•9
(D) 45
(E) 36


The total # of handshakes will be equal to the # of different pairs possible from these 10 people (one handshake per pair), so C^2_{10}=45.

Answer: D.
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Re: . If 10 persons meet at a reunion and each person shakes han   [#permalink] 09 Mar 2011, 15:20
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