यदि Q और R दो परिमित समुच्चय इस प्रकार हैं कि n(Q) = 36, n(R) = 40 और n(Q U R) = 50, तो n(Q ∩ R) का मान ज्ञात कीजिये

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

Answer (Detailed Solution Below)

Option 2 : 26
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दिया गया है

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

गणना

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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