let A and B be two sets that, n(A)=45, n (B)-38 and
(AUB) = 70. Find
N(AUB)
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2
Answer:
n(A) = 45, n(B) = 38 and n(A∪ B) = 70
(i) We know that,
n(A ∩ B) = n(A) + M(B) – n(A ∪B)
n(A ∩ B) = 45 + 38 – 70 = 83 – 70 = 13
(ii) We know that,
n(A-B) = n(A ∪B) - n(B)
n(A – B) = 70 – 38 = 32
(iii) We know that,
n(B – A) = n(A ∪ B) – n(A)
n(B – A) = 70 – 45 = 25
Answered by
1
n(A U B) = n(A) + n(B) - n(A ∩ B)
n(A U B) = 45 + 38 - 70
n(A U B) = 83 - 70
n(A U B) = 13
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