In how many ways can 2 distinct scholarships be awarded to 4 applicants, when each scholarship is given to a different applicant? A. 4 B. 12 C. 64 D. 51

GATE 2011 · General Aptitude · Combinatorics · medium

Answer: 12 ways (option B)

1. Identify n and r: n = 4 applicants, r = 2 scholarships. No applicant receives both.
2. Compute P(4,2): P(4,2) = 4 x 3 = 12.