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

X and Y are two sets such that n(X) = 15, n(Y) = 12 and n{X ∩ Y} = 7. Find ∩{X ∪ Y}
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  • A 21
  • B 225
  • C 15
  • D 20
Correct Answer: Option D
Explanation:
n(X ∪ Y) = n(X) + n(Y) − n(X ∩ Y)
= 15 + 12 − 7
− n(X ∪ Y) = 20

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