Question

F n(U) = 50, n(A)= 30, n(B) = 25 and n(AnB)=10, what the cardinality of AUB ? *

A) 5
B) 45
C) 20
D) 25

Answer 1

The cardinality of AUB is 45.

Step-by-step explanation:

To find the cardinality of AUB, we can use the formula:

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

Given that n(A) = 30, n(B) = 25, and n(AnB) = 10, we can substitute these values into the formula:

n(AUB) = 30 + 25 - 10 = 45

Therefore, the cardinality of AUB is 45.