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WAEC Further Mathematics 2024 Question 29

Question 29

Permutations and Combinations

In how many ways can 12 people be seated on a bench if only 5 spaces are available?

  1. A.95040
  2. B.11880
  3. C.792
  4. D.495
Show the answer and explanation

Answer: A (95040)

Explanation

Order on the bench matters: ¹²P₅ = 12 × 11 × 10 × 9 × 8 = 95040.