Question

1. If n(A) = 10, n(B) = 12 and n(AB) = 6, then find n(AB).​

Answer 1

Answer :

Let's write all the given values

• n( A ) = 10
• n( B ) = 12
• n( A ∩ B ) = 6
• n( A ∪ B ) = ?

Now, recall the equation in which given values are included

• n( A ∪ B ) + n( A ∩ B ) = n( A ) + n( B )

Substituting the given values we get

n( A ∪ B ) + 6 = 10 + 12

n( A ∪ B ) = 22 - 6 = 16