Question

If X and Y are two sets such that n (X) = 17, n (Y) = 23 and n ( X ∪ Y ) = 38, find n ( X ∩ Y ).

Answer 1

Given-

n(X) = 8, n(Y) = 15, and n(X ∪ Y) = 18

We know that-

n(X ∪ Y) = n(X)+ n(Y) - n(X ∩ Y)

⇒ 18 = 8+15 - n(X ∩ Y)

⇒ 18 = 23 - n(X ∩ Y)

⇒ n(X ∩ Y) = 23-18

∴ n(X ∩ Y) = 5

JAI SHREE KRISHNA

Answer 2

Answer:

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