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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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Sum

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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Solution

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

n (A∪B) = n(X) - [n(A ∪ B)']

= n(X) - n(A' ∩ B')

= 50 - 5

= 45

Concept: Operations on Sets
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 1 Sets and Relations
Exercise 1.1 | Q 6. (i) | Page 10
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