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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)

बेरीज

उत्तर

n(X) = 50 and n(A' n B') = 5

∵ A' ∩ B' = (A ∪ B)'

∴ n(A ∪ B)' = n(A'∩ B') = 5

∴ n(A ∪ B) = n(X) – n(A ∪ B)'

= 50 – 5

= 45

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

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