If n(P) = 20 and n(Q) = 30 and n(PuQ) = 40, find the value n(PnQ)

  • A 10
  • B 30
  • C 15
  • D 40
jamb 2022mathematics

The correct answer is A. 10

The formula for the intersection of two sets P and Q, denoted by n(P ∩ Q), can be found using the principle of inclusion and exclusion:

n(P ∩ Q) = n(P) + n(Q) - n(P ∪ Q)

Substituting the given values into this formula, we get:

n(P ∩ Q) = 20 + 30 - 40 = 10

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