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WAEC Further Mathematics 2022 Question 18

Question 18

Permutations and Combinations

In how many ways can six persons be paired?

  1. A.5
  2. B.10
  3. C.15
  4. D.25
Show the answer and explanation

Answer: C (15)

Explanation

Choosing a pair of 2 from 6 people: ⁶C₂ = 15 (this is also the number of ways to split 6 people into 3 pairs: 6!/(2³ × 3!) = 15).