Question

If n(A) = 200, n(B) = 300 and n(AUB) = 400,Find the value of n(AnB).​

Answer 1

To find the value of n(A∩B), substitute the given values into the formula n(A∪B) = n(A) + n(B) - n(A∩B). Simplify the equation to find that n(A∩B) = 100.

Step-by-step explanation:

To find the value of n(A∩B), we can use the formula: n(A∪B) = n(A) + n(B) - n(A∩B).

Given that n(A) = 200, n(B) = 300, and n(A∪B) = 400, we can substitute these values into the formula.

400 = 200 + 300 - n(A∩B).

Simplifying the equation, we have n(A∩B) = 100.