Each year, a college admissions committee grants a ....

[factor26]

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

Answer is C ... please show how to solve thanks!

[shankar.ashwin]

From (1)- scholarships could be distributes anyways (6,0,0) (1,1,4)etc - Insuff
(2) Equal No is distributed, Can be (1,1,1)(2,2,2) etc - Insuff

Together; Since total is 6, only (2,2,2) can be possible.
C

PS They ask for No of ways and that would be 10!/2!2!2!4! (10 people, 2 scholarships of each type and 4 people who dont receive)