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Maharashtra State BoardSSC (English Medium) 9th Standard

If n(A) = 7, n(B) = 13, n(A ∩ B) = 4, then n(A ∪ B) =? - Algebra

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Question

If n(A) = 7, n(B) = 13, n(A ∩ B) = 4, then n(A ∪ B) =?

Sum

Solution

We have, 

n(A) = 7, n(B) = 13 and n(A ∩ B) = 4

Since, n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

= 7 + 13 - 4

∴ n(A ∪ B) = 16

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Number of Elements in a Set
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Chapter 1: Sets - Problem Set 1 [Page 18]

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