Question

,Find n (A ∪ B) if n (A) = 43, n (B) = 51 and n (A ∩ B) = 30. *

Answer 1

GIVEN :

n(A) = 43

n(B) = 51

n(AUB) = 75

{n(A \cup B) = n(A) + n(B) - n(A \cap B) }

So,

{75 = 43 + 51 - n(A \cap B) }

75 = 94 - n(A \cap B) }

{n(A \cap B) = 94 - 75 }

{n(A \cap B) = 19 }

For n(A - B),

{n(A-B) = n(A) - n(A /cap B) }

{n(A-B) = 43 - 19 }

n(A-B) = 27 }

For n(B-A),

{n(B-A) = n(B) - n(A \cap B) }

{n(A-B) = 51 - 19 }

{n(A-B) = 32 }

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Answer 2

Answer:

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