WAEC Mathematics 2011 Question 34

Question 34

Sets

Given that n(P) = 19, n(P∪Q) = 38 and n(P∩Q) = 7, find n(Q).

  1. A.26
  2. B.31
  3. C.36
  4. D.50
Show the answer and explanation

Answer: A (26)

Explanation

n(P∪Q) = n(P) + n(Q) − n(P∩Q): 38 = 19 + n(Q) − 7, so n(Q) = 26.