WAEC 2022 · Paper 1 · Q3

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

Worked solution (try it first)
  1. Use n(A∪B)=n(A)+n(B)−n(A∩B)n(A \cup B) = n(A) + n(B) - n(A \cap B).
  2. So n(A∪B)=8+12−3=17n(A \cup B) = 8 + 12 - 3 = 17, option B.

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