Question

There are 12 applicants for financial aid. The Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded? The first scholarship is $1000, the second is $750, the third is $500, and the last is $250. Only place a numeric value as an answer.

Answer 1

495 ways

Explanation:

Given that:

Total number of applicants (n) = 12

Required number (r) = 4

Using the combination formula :

nCr = n! / (n-r)!r!

12C4 = 12! / (12 - 4)!4!

12C4 = 12! / 8!4!

12C4 = (12*11*10*9) / 4*3*2*1

12C4 = 11880 / 24

= 495 ways