Question

A Venn diagram contains two sets. n(ξ) = 20, n(A) = 7, n(A ∪ B) = 12, n(B′) = 12.
Find n(A ∩ B).

Answer 1

Answer:

n(A ∩ B) = 3

Step-by-step explanation:

n(B) = n(£) - n(B')

= 20 - 12

= 8

n(A ∩ B) = n(A) + n(B) + n(A U B)

= 7 + 8 - 12

= 3