Question

Let A and B be two sets such that n(A) = 45, n(B) = 30 and n(A ∪ B) = 65. Find n(A ∩ B)
[Here, n(X) denotes the number of elements in set X]​

Answer 1

Answer:

4/9+-2/7+-5/14+3/18 add using Sutaible property

Answer 2

Given :- Let A and B be two sets such that n(A) = 45, n(B) = 30 and n(A ∪ B) = 65.

To Find :-

• n(A ∩ B) = ?

Solution :-

we know that,

• n(A ∪ B) = n(A) + n(B) - n(A ∩ B) .

so,

→ n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

→ n(A ∩ B) = n(A) + n(B) - n(A ∪ B)

putting given values we get,

→ n(A ∩ B) = 45 + 30 - 65

→ n(A ∩ B) = 75 - 65

→ n(A ∩ B) = 10 (Ans.)

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