Let A and B be two sets and U be their universal set. If n(U) = 120, n(A) = 42, n(B) = 50 and n (A intersection B ), then find,
n (PUQ) and n(PUQ) where P = A - B and Q = A intersection B.
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Answer:
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
If A ∩ B = ф , then n(A ∪ B) = n(A) + n(B)
It is also clear from the Venn diagram that
• n(A - B) = n(A) - n(A ∩ B)
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