Question

If n(A)=30, n(B)=38,and n(A U B)=46then n(A intersection B)=?​

Answer 1

Step-by-step explanation:

Aintersection B is =20

Answer 2

SOLUTION

GIVEN

n(A) = 30 , n(B) = 38 , n( A ∪ B) = 46

TO DETERMINE

n( A ∩ B)

EVALUATION

Here it is given that

n(A) = 30 , n(B) = 38 , n( A ∪ B) = 46

We are aware of the formula on set theory that

n( A ∪ B) = n(A) + n(B) - n( A ∩ B)

⇒ 46 = 30 + 38 - n( A ∩ B)

⇒ n( A ∩ B) = 68 - 46

⇒ n( A ∩ B) = 22

FINAL ANSWER

n( A ∩ B) = 22

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