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Handshakes

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CIO
CIO
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Joined: 09 Mar 2003
Posts: 463
Followers: 2

Kudos [?]: 35 [0], given: 0

Handshakes [#permalink] New post 14 Jul 2004, 06:16
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 2 sessions
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

There are 7 basketball teams at a tournament, each with 5 players. If each player will shake hands once with every other player not on his team, how many handshakes take place?

A) 324,632
B) 595
C) 525
D) 350
E) 120
Joined: 31 Dec 1969
Location: India
Concentration: Strategy, Operations
GMAT 1: 710 Q49 V0
GMAT 2: 740 Q40 V50
GMAT 3: 700 Q48 V38
GMAT 4: 710 Q45 V41
GPA: 4
WE: Sales (Investment Banking)
Followers: 0

Kudos [?]: 108 [0], given: 89766

Re: Handshakes [#permalink] New post 14 Jul 2004, 06:38
ian7777 wrote:
There are 7 basketball teams at a tournament, each with 5 players. If each player will shake hands once with every other player not on his team, how many handshakes take place?

A) 324,632
B) 595
C) 525
D) 350
E) 120


There will be 6*5 = 30 handshakes with persons who are not members of one's team. Given that we have total 7*5 = 35 players, we get 30*35 handshakes. But each handshake in this pool of h/s is counted twice. Thus, we have to discount and the answer is 30*35/2 = 525, C.
Intern
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 [#permalink] New post 14 Jul 2004, 07:21
Different approach:

7C2*5C1*5C1=21*5*5=525
Director
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 [#permalink] New post 14 Jul 2004, 13:36
# of handshakes bween 2 teams = 5*5=25
# of comb to pick 2 teams = 7C2

Total comb = 25*7C2
CIO
CIO
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Joined: 09 Mar 2003
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 [#permalink] New post 14 Jul 2004, 22:13
OA is C. I agree with emmanuel's way most of all. very straight forward and easy to comprehend: 35x30/2.
Intern
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 [#permalink] New post 15 Jul 2004, 13:50
Agreed, the combination method seems easy to mess up on, if you forget a factor to take into consideration. The dividing by two part is brilliant. Don't see that right off. Good job.
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Davefor MBA

  [#permalink] 15 Jul 2004, 13:50
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