Question

11. Let A, B are two sets such that n(A) = 5, n(B) = 7, then find the maximum
number of elements in AUB
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Answer 1

SOLUTION

GIVEN

Let A, B are two sets such that

n(A) = 5, n(B) = 7

TO DETERMINE

The maximum number of elements in AUB

EVALUATION

Here it is given that A, B are two sets such that n(A) = 5, n(B) = 7

We know that

n( A ∪ B) = n(A) + n(B) - n(A∩B)

⇒ n( A ∪ B) ≤ n(A) + n(B)

⇒ n( A ∪ B) ≤ 5 + 7

⇒ n( A ∪ B) ≤ 12

FINAL ANSWER

The maximum number of elements in AUB

= 12

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