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If A and B are two finite sets, then n(A) + n(B) is equal to ______.

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Question

If A and B are two finite sets, then n(A) + n(B) is equal to ______.

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Solution

If A and B are two finite sets, then n(A) + n(B) is equal to n(A ∪ B) + n(A ∩ B).

Explanation:

Since n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

So n(A) + n (B) = n(A ∪ B) + n(A ∩ B)

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Chapter 1: Sets - Solved Examples [Page 12]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 1 Sets
Solved Examples | Q 17 | Page 12

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