Question

If n (U) = 40, n (A) = 22, n (A ∩ B) = 8 and n ((A ∪ B)′) = 6, determine n (B).

Answer 1

Answer:

n(AUB) =n(U) - n(AUB)c=40-6=34

n(AUB)=n(A)+n(B)-n(AnB)=34

22+n(B)-8=34

14+n(B)=34

n(B)=20

Answer 2

Answer:

n(B)=20

Step-by-step explanation:

Complementary of any given set is the difference of that set from the universal set.

n(AUB) =n(U) - n(AUB)

             =40-6=34

n(AUB)=n(A)+n(B)-n(AnB)

22+n(B)-8=34

14+n(B)=34

n(B)=20

n(B)=20

#SPJ2