Question

If n(A)=20 , n(B)=28 and n(AUB)=36 then n(AΠB)=?​

Answer 1

Step-by-step explanation:

GIVEN:

If n (A) = 20, n (B) = 28 and n(AUB) = 36 then n(ANB)

TO FIND :

The value of n(ANB)

SOLUTION:

Given that n (A) = 20, n (B) = 28 and n(AUB) = 36

The formula in Set theory is given by :

n(AUB) = n(A) + n(B) - n(ANB)

Now substituting the values in the above formula we get,

3620+28 - n(AB)

3648 - n(ANB) - n(ANB)

= 48 - 36 = 12 n(ANB) = 12

.. the value of n(AB) is 12

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