Question

If n(U) = 100, n(X) = 51, n(Y) = 63 and n(XUY)' = 8 What is n(X ∩ Y)? Select one: a. none of the options b. 12 c. 4 d. 20

Answer 1

To find n(X ∩ Y), we can use the formula n(X ∩ Y) = n(X) + n(Y) - n(XUY). Substituting the given values, we find that n(X ∩ Y) = 22.

Step-by-step explanation:

To find the intersection of two sets, we can use the formula n(X ∩ Y) = n(X) + n(Y) - n(XUY). Given that n(X) = 51, n(Y) = 63, and n(XUY)' = 8, we can substitute these values into the formula:

1. n(X ∩ Y) = 51 + 63 - (100 - 8)
2. n(X ∩ Y) = 51 + 63 - 92
3. n(X ∩ Y) = 114 - 92
4. n(X ∩ Y) = 22

Therefore, the value of n(X ∩ Y) is 22, so the correct answer is d. 20.

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