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WAEC Further Mathematics 2026 Question 27

Question 27

Permutations and Combinations

How many ways can 15 people be divided into three groups of 3, 8 and 4 in that order?

  1. A.2,252
  2. B.2,255
  3. C.225,222
  4. D.225,225
Show the answer and explanation

Answer: D (225,225)

Explanation

15!/(3! 8! 4!) = ¹⁵C₃ × ¹²C₈ = 455 × 495 = 225,225.