हिंदी

If n(A) = 20, n(B) = 28 and n(A ∪ B) = 36 then n(A ∩ B) = ? - Algebra

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प्रश्न

If n(A) = 20, n(B) = 28 and n(A ∪ B) = 36 then n(A ∩ B) = ?

योग

उत्तर

We have, 

n(A) = 20, n(B) = 28 and n(A ∪ B) = 36

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

36 = 20 + 28 - n(A ∩ B)

36 = 48 - n(A ∩ B)

∴ n(A ∩ B) = 48 - 36

∴  n(A ∩ B ) = 12

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Number of Elements in a Set
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अध्याय 1: Sets - Problem Set 1 [पृष्ठ १७]

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बालभारती Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
अध्याय 1 Sets
Problem Set 1 | Q (5) | पृष्ठ १७
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