Data Sufficiency (DS) | Re: A college admissions committee will grant a certain number

Solution:
scholarships = students

1] 6 scholarships given, so 6 students given the scholarship, 4 not given
10C6 X (6!/x!y!z!)

10C6 --> selecting 6 from 10 students to give the money
6! --> we are looking at arranging the scholarships (1 for each student)
x,y,z = we know scholarships are of a certain kind - 3 types --> so we need to divide 6! by these

Since we dont know x,y,z --> not suff

2] 10Cn X (n!/x!y!z!)

not sufficient

Together] 10C6 X (6!/2!2!2!)

Ans - C

---