Let Q and R are two finite sets such that n(Q) = 36, n(R) = 40 and n(Q U R) = 50. Find n(Q ∩ R).

  1. 25
  2. 26
  3. 27
  4. 28

Answer (Detailed Solution Below)

Option 2 : 26
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Detailed Solution

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Given

n(Q) = 36, n(R) = 40 and n(Q U R) = 50

Calculation

n(Q U R) = n(Q) + n(R) - n(Q ∩ R)

⇒ 50 = 36 + 40 - n(Q ∩ R)

⇒ 50 = 76 - n(Q ∩ R)

n(Q ∩ R) = 26

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