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X and Y are two sets such that nX 15 nY 12 and ... - JAMB Mathematics 2015 Question

X and Y are two sets such that nX = 15, nY = 12 and n{∩ Y} = 7. Find ∩{X ∪ Y}

A
21
B
225
C
15
D
20
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Correct Option: D

n(X ∩ Y) = nx + ny − n(xX ∩ Y)

= 15 + 12 − 7

∴ n(X ∩ Y) = 20

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