Question

2) If n(U) = 60, n(A) = 45, n(B) = 25 and n((AN B)')=40, find
a) n(AUB)
b) n(ANB)​

Answer 1

Answer:

given n((AnB)') = 40

n(U) - n(AnB) = 40

n(AnB) = n(U) - 40

60 - 40

n(AnB) = 20

we know that

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

= 45 + 25 - 20

= 70-20

= 50