Question

Find the value of n(A) if n(B) = 32, n(A n B) = 17, and n(A U B) 50. n(A)=|(Type a whole number.)

Answer 1

The no of elements in set A 'n(A)' = 35

Explanation:

From the basic relation between two sets A and B we have

`n(A\cup B)=n(A)+n(B)-n(A\cap B)`

Since it is given that

`n(A\cup B)=50`

`n(B)=32`

`n(A\cap B)=17`

Applying the given values in the above relation we get

`50=n(A)+32-17\\\\\therefore n(A)=50-32+17\\\\\therefore n(A)=35`