1.

X and Y are two sets such that n(X)=33,n(Y)=42 and n(X∪Y)=70, then n(X∩Y) is: ??​

Answer»

*Correct 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:—

It is given that:

→ n(X)=17,n(Y)=23,n(X∪Y)=38

So,

→ n(X∩Y)=?

Using the FORMULA:—

→ n(X∪Y)=n(X)+n(Y)−n(X∩Y)

Hence,

∴38=17+23−n(X∩Y)

→ n(X∩Y)=40−38=2

Hence,

∴n(X∩Y)=2

@vikramjeeth


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