Question

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

145
5
10
0​

Answer 1

Answer:

okay bro I am Hariom. and you

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

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

• 145

• 5

• 10

• 0

EVALUATION

Here it is given that X and Y are two sets such that n(X)=33,n(Y)=42 and n(X∪Y)=70

Now

n(X∪Y) = n(X) + n(Y) - n(X∩Y)

⇒ 70 = 33 + 42 - n(X∩Y)

⇒ n(X∩Y) = 75 - 70

⇒n(X∩Y) = 5

FINAL ANSWER

Hence the correct option is n(X∩Y) = 5

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