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# A college admissions committee will grant a certain number

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Manager
Joined: 08 Aug 2008
Posts: 229

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05 Dec 2008, 07:18
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A college admissions committee will grant a certain number of \$10,000 scholarships, \$5,000 scholarships, and \$1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out 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.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
Director
Joined: 14 Aug 2007
Posts: 726

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05 Dec 2008, 08:01
prasun84 wrote:
A college admissions committee will grant a certain number of \$10,000 scholarships, \$5,000 scholarships, and \$1,000 scholarships. If no student can receive more than one scholarship, how many different ways can the committee dole out 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.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Both statements TOGETHER are sufficient, but NEITHER one ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.

Weird question

I dont understand it clearly, IMO 1) should be sufficient, if there are total 6 scholarships they can be doled out in 10P6 ways among a pool of 10 students.

A
Current Student
Joined: 28 Dec 2004
Posts: 3342
Location: New York City
Schools: Wharton'11 HBS'12

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05 Dec 2008, 08:14
C... we need to know if we can arrange them 6C3 ways where all the reciepients get the same amount or ..not..
Re: DS#College Scholarship   [#permalink] 05 Dec 2008, 08:14
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# A college admissions committee will grant a certain number

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