Question

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 1

*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

$@vikramjeeth$

Answer 2

Step-by-step explanation:

|XuY|=70,|X|=33,|Y|=42 then |XnY|=?

ans)|XnY|=|X|+|Y|-|XuY|

|XnY|=33+42-70

=75-70=5