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How many different handshakes are possible if six girls [#permalink]

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01 Apr 2012, 04:15

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64% (02:08) correct
36% (01:21) wrong based on 289 sessions

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How many different handshakes are possible if six girls are standing on a circle and each girl shakes hands with every other girl except the two girls standing next to her?

(A) 12 (B) 11 (C) 10 (D) 9 (E) 8

Had to count the scenarios, how can you calculte this with combinatorics?

How many different handshakes are possible if six girls are standing on a circle and each girl shakes hands with every other girl except the two girls standing next to her?

(A) 12 (B) 11 (C) 10 (D) 9 (E) 8

Had to count the scenarios, how can you calculte this with combinatorics?

Each girl in a circle shakes hands with 3 other girls (6 minus herself and the two girls standing next to her): 3*6=18, but since this number counts twice one handshake per pair then # handshakes possible is 18/2=9.

Re: How many different handshakes are possible if six girls [#permalink]

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16 Jun 2014, 17:14

Hello from the GMAT Club BumpBot!

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Re: How many different handshakes are possible if six girls [#permalink]

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17 Jun 2014, 07:27

Hi I am looking for some sample questions to test my arithmatic section, Can you tell me where are these questions from? where are these sub-600, 600 to 700 questions? thanks

Hi I am looking for some sample questions to test my arithmatic section, Can you tell me where are these questions from? where are these sub-600, 600 to 700 questions? thanks

Re: How many different handshakes are possible if six girls [#permalink]

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04 Mar 2016, 07:38

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How many different handshakes are possible if six girls [#permalink]

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04 Mar 2016, 19:18

let n=6 if each of the 6 girls shook hands with each of the other 5, there would be (n)(n-1)/2=15 total handshakes because each of the 6 shakes hands with only 3 other girls, there are only (3/5)(15)=9 total handshakes

Re: How many different handshakes are possible if six girls [#permalink]

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16 Mar 2017, 18:00

Hello from the GMAT Club BumpBot!

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