WAEC Further Mathematics 2012 Question 28

Question 28

Permutations and Combinations

Given that nPr = 90 and nCr = 15, find the value of r.

  1. A.2
  2. B.3
  3. C.5
  4. D.6
Show the answer and explanation

Answer: B (3)

Explanation

nPr = r! × nCr, so r! = 90 ÷ 15 = 6 and r = 3.