Question

If A and B are two subsets of with n() = 43, n(A) = 25, n(B) = 18 and n(AB) = 7, which is the value of n(AUB).​

Answer 1

Answer: We can use the following formula for the union of two sets:

n(A U B) = n(A) + n(B) - n(A ∩ B)

where n(A ∩ B) is the number of elements in the intersection of A and B.

Substituting the given values, we get:

n(A U B) = n(A) + n(B) - n(A ∩ B)

n(A U B) = 25 + 18 - 7

n(A U B) = 36

Therefore, the value of n(A U B) is 36.