Given the following venn diagram, find n[ A ∪ ( B ∩ C ) ].

Solution:

Given the Venn diagram with relevant data.

From the Venn diagram, we get

n(B ∩ C) =21+3=24

and A∩B∩C = 21

In order to calculate n[ A ∪ ( B ∩ C ) ], let us use this known A ∪ B formula.

n(A ∪ B)= n(A) + n(B)- n(A ∩ B)

n[ A ∪ ( B ∩ C ) ] =n(A) + n( B ∩ C ) - n(A ∩ ( B ∩ C))

= 8+ 24 -21

=11

n[ A ∪ ( B ∩ C ) ] =11

Given the following venn diagram, find n[ A ∪ ( B ∩ C ) ].

Summary:

From the given venn diagram, the value of n[ A ∪ ( B ∩ C ) ] is 11.