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Grateful if you can advise on this pl. How many different

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Manager
Joined: 20 Sep 2004
Posts: 62

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Grateful if you can advise on this pl. How many different [#permalink]

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30 Oct 2004, 11:30
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Grateful if you can advise on this pl.

How many different 6-letter sequences are there that consist of 1 A, 2 Bâ€™s, and 3 Câ€™s ?

A. 6
B. 60
C. 120
D. 360
E. 720

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Director
Joined: 16 Jun 2004
Posts: 891

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30 Oct 2004, 12:45
6!/2!*3! = 60.

6! because 6 letters can be arranged in 6! ways
/2!3! because 2 B's and 3C's - we would care less as to how they are arranged.

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GMAT Club Legend
Joined: 15 Dec 2003
Posts: 4284

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30 Oct 2004, 12:58
Also got 60 = 6! / 2*3!
Total possible outcomes: 6! of placing different letters
Since A repeats twice and C repeats thrice, divide answer by 2!*3! or 2*3!
_________________

Best Regards,

Paul

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Manager
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Posts: 62

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31 Oct 2004, 07:55
thanks for the clear explanation guys, OA is B - 60.

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OA   [#permalink] 31 Oct 2004, 07:55
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