Question

If n(A) = 45, n(B) = 60 and n(U) = 90. What is the largest possible value of n(A n B)?​

Answer 1

Therefore, the largest possible value of n(A n B) is 15.

Step-by-step explanation:

The largest possible value of n(A n B) can be found by finding the intersection between sets A and B. The formula for finding the intersection of two sets is n(A n B) = n(A) + n(B) - n(A U B). Given that n(A) = 45, n(B) = 60, and n(U) = 90, we can substitute these values into the formula to find the largest possible value of n(A n B).

n(A n B) = n(A) + n(B) - n(A U B)
= 45 + 60 - 90
= 105 - 90
= 15

Therefore, the largest possible value of n(A n B) is 15.