WAEC Mathematics 2022 Question 3

Question 3

Sets

Given that A and B are sets such that n(A) = 8, n(B) = 12 and n(A ∩ B) = 3, find n(A ∪ B).

  1. A.15
  2. B.17
  3. C.20
  4. D.23
Show the answer and explanation

Answer: B (17)

Explanation

n(A ∪ B) = n(A) + n(B) − n(A ∩ B) = 8 + 12 − 3 = 17.