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# In how many ways can 12 different books be divided equally

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Senior Manager
Joined: 21 Mar 2004
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In how many ways can 12 different books be divided equally [#permalink]  13 Jun 2005, 06:09
In how many ways can 12 different books be divided equally among 4 sets or groups ?
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ash
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I'm crossing the bridge.........

Director
Joined: 18 Apr 2005
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Re: Combi problem [#permalink]  13 Jun 2005, 15:17
ashkg wrote:
In how many ways can 12 different books be divided equally among 4 sets or groups ?

not sure

12C6 * 6C3 * 6C3 = 36,960
Senior Manager
Joined: 21 Mar 2004
Posts: 444
Location: Cary,NC
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Kudos [?]: 20 [0], given: 0

OA is 15400

Anyone knows how to do this ?

The OE which I have is not very clear. I'll be posting it later.
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ash
________________________
I'm crossing the bridge.........

Director
Joined: 18 Apr 2005
Posts: 549
Location: Canuckland
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Kudos [?]: 8 [0], given: 0

I don't see how it can be 15400

12C3 = 220

15400/220 = 70 so there are only 70 possibillities left to divide 9 remaining books in the batches of 3? Given that just 9C3 = 84
Director
Joined: 31 Aug 2004
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12C3.9C3.6C3/4!

do not know if it is the OA...
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