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WAEC Further Mathematics 2026 Question 24

Question 24

Permutations and Combinations

In a horse racing sport, a triple is a type of game. To win this, you need to specify the horses that will finish in the top 3 spots in the order in which they finish. If 7 horses took part in the race, in how many ways can they finish in the top 3 spots?

  1. A.21 ways
  2. B.35 ways
  3. C.210 ways
  4. D.363 ways
Show the answer and explanation

Answer: C (210 ways)

Explanation

Order matters, so this is a permutation: ⁷P₃ = 7 × 6 × 5 = 210 ways.