Combinations

[timtinny]

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.

[bobby_in]

I will go with C

[saravanants]

1) This option does not specify how many number of scholarship are available. Not sufficient.
2) This option gives a hint that either 3,6 or 9 scholarship will be granted. Not sufficient.

Combining both, it is clear that committee will provide 6 scholarships two from every group.

Hope the answer is right.

[ChandraXXX]

I think in 1) total 6 scolarships. So 6 scolarship and as its mentioned that -"no student can receive more than one scholarship". Total possible ways -
10P6.

So. 1 is sufficient.

My answer is A.

Please confirm if i am wrong.

[ChandraXXX]

Nops...I am wrong. I think its necessary to know how the scolarship is distributed.

Sorry folks. I'll go for C.

[lecast]

1. This is sufficient w/ an assumption that the college endowment fund has unlimited resources. 2. This limits to a subset of possible outcomes from 1 Since there should be only one correct answer then it is C.

[abhishek_mumbai]

+1 for C..
we need to know the total and then distribution.. same scholorship level reduce the arrangement as order doesn't matter..

[hrif]

I go with C

[audia8]

Agree with abhishek_mumubai "same scholorship level reduce the arrangement as order doesn't matter". Go with C.

[india_chintan]

+1 for c. What is the OA??