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If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩ B') = 5, find n(A'∩ B) - Mathematics and Statistics

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प्रश्न

If A and B are subsets of the universal set X and n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩ B') = 5, find n(A'∩ B)

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उत्तर

n(X) = 50, n(A) = 35, n(B) = 20, n(A'∩ B') = 5

n(A ∩ B) = n(A) + n(B) − n(A ∪ B)

= 35 + 20 − 45

= 10

n(A'∩ B) = n(B) – n(A ∩ B)

= 20 – 10

= 10

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Classification of Sets
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Sets and Relations - Exercise 5.1 [पृष्ठ ९७]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
पाठ 5 Sets and Relations
Exercise 5.1 | Q 6. (iii) | पृष्ठ ९७

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