Use a venn diagram and the given information to n(union) = 103, n(a) = 35, n(b) = 42, n(c) = 45, n(a intersection b) = 8, n(a intersection c) = 8, n(b intersection c) = 6, and n(a intersection (b intersection c) = 3. find n(a intersection (b union c)'). a) 4 b) 22 c) 3 d) 26

The correct option is B.

Step-by-step explanation:

Given information:  n(A) = 35, n(B) = 42, n(C) = 45, n(A∩B) = 8, n(A∩C) = 8, n(B∩C) = 6, and n(A∩B∩C) = 3.

We need to find the value of n(A∩(B∩C)')

Using venn diagram we get

n(A∩B∩C')=n(A∩B)-n(A∩B∩C)= 8-3 = 5

n(A∩B'∩C)=n(A∩C)-n(A∩B∩C)= 8-3 = 5

n(A'∩B∩C)=n(B∩C)-n(A∩B∩C)= 6-3 = 3

n(A∩(B∪C)')=n(A)-n(A∩B'∩C)-n(A∩B∩C')-n(A∩B∩C)

n(A∩(B∪C)')=35-5-5-3 = 22

The value of n(A∩(B∪C)') is 22. Therefore the correct option is B.

a

step-by-step explanation:

not sure but it may be b, as i said i'm not sure.