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# ps combinatorials

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ps combinatorials [#permalink]  11 Jul 2011, 00:46
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Question Stats:

50% (00:00) correct 50% (01:58) wrong based on 2 sessions
Each year, a college admissions committee grants a certain number of \$10,000 scholarships, \$5,000 scholarships, and \$1,000 scholarships. The number of scholarships granted at each level does not vary from year to year, and no student can receive more than one scholarship. This year, how many different ways can the committee distribute the scholarships among the pool of 10 applicants?

(1) In total, six scholarships will be granted.

(2) An equal number of scholarships will be granted at each scholarship level.
[Reveal] Spoiler: OA

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Re: ps combinatorials [#permalink]  11 Jul 2011, 03:22
mojorising800 wrote:
Each year, a college admissions committee grants a certain number of \$10,000 scholarships, \$5,000 scholarships, and \$1,000 scholarships. The number of scholarships granted at each level does not vary from year to year, and no student can receive more than one scholarship. This year, how many different ways can the committee distribute the scholarships among the pool of 10 applicants?

(1) In total, six scholarships will be granted.

(2) An equal number of scholarships will be granted at each scholarship level.

st1: this can 10C4*6C1*5C1 or 10C2*8C2*6C2.......... insufficient

st2: this can be 10C2*8C2*6C2 or 10C3*7C3*4C3.........insufficient

1&2 : its 10C2*8C2*6C2.
Re: ps combinatorials   [#permalink] 11 Jul 2011, 03:22
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