WAEC Further Mathematics 2019 Question 5

Question 5

Permutations and Combinations

If nC2 = 15, find the value of n.

  1. A.8
  2. B.7
  3. C.6
  4. D.5
Show the answer and explanation

Answer: C (6)

Explanation

n(n − 1)/2 = 15 gives n² − n − 30 = 0, (n − 6)(n + 5) = 0, so n = 6.