JAMB - Mathematics (2015 - No. 5)

X and Y are two sets such that n(X) = 15, n(Y) = 12 and n{X ∩ Y} = 7. Find ∩{X ∪ Y}
21
225
15
20

Explanation

n(X ∪ Y) = n(X) + n(Y) − n(X ∩ Y)

= 15 + 12 − 7

∴ n(X ∪ Y) = 20

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