1.

If A and B are two sets such that n(A) = 115, n(B) = 326, n (A − B) = 47, then write {A⋃B).

Answer»

Here, 

n(A) =115 , n(B) = 326 , n(A∖B) = 47 

n(A∖B) = n(A) - n(A⋂B) 

∴ n(A⋂B) = n(A) - n(A∖B) 

= 115 - 47 

= 68 

Now, 

n(A⋃B) = n(A) + n(B) - n(A⋂B) 

= 115 + 326 - 68 

= 373



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