JAMB Mathematics 2006 Question 9

Question 9

Permutation and Combination

For what value of n is n+1C3 = 4(nC3)?

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

Answer: D (3)

Explanation

n+1C3/nC3 = (n + 1)/(n − 2) = 4, so n + 1 = 4n − 8 and n = 3.