Suppose that n(u) = 200, n(a) = 165, n(b) = 95, and n( a ∩ b ) = 80. find n( a c ∪ b ).

a. 85
b. 95
c. 15
d. 35
e. 115
f. none of the above.

d) 35

Step-by-step explanation:

Consider the venn diagram attached below

Given

n(U) = 200

n(A) = 165

n(B) = 95

n(A ∩ B ) = 80

n( ∪ B) =?

Using

n(A  ∪ B) = n(A) + n(b) - n(A ∩)B

For

Then (1) becomes