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# 10 business executives and 7 chairmen

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Manager
Joined: 02 Aug 2007
Posts: 221
Schools: Life

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13 Feb 2009, 15:39
10 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes take place?

* 144
* 131
* 115
* 90
* 45

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SVP
Joined: 29 Aug 2007
Posts: 2426

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13 Feb 2009, 18:37
xALIx wrote:
10 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes take place?

* 144
* 131
* 115
* 90
* 45

= 1 + 2 +.........+ 9 + (10x7)
= 45+70
= 115
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Joined: 28 Dec 2004
Posts: 3292
Location: New York City
Schools: Wharton'11 HBS'12

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14 Feb 2009, 12:53
1
no. of ways 10 exec shake hands is 10C2.. + no of ways 10 exec shake hands with 7 chairman=10*7

total hand shakes=10C2+70 0r 115
Manager
Joined: 02 Aug 2007
Posts: 221
Schools: Life

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14 Feb 2009, 14:21
OA is C, well put FN.

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Re: 10 business executives and 7 chairmen   [#permalink] 14 Feb 2009, 14:21
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# 10 business executives and 7 chairmen

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