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70 Trees Were Planted by Parth and 90 Trees Were Planted by Pradnya on the Occasion of Tree Plantation Week. - Algebra

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प्रश्न

70 trees were planted by Parth and 90 trees were planted by Pradnya on the occasion of Tree Plantation Week. Out of these; 25 trees were planted by both of them together. How many trees were planted by Parth or Pradnya?

योग

उत्तर

Let A be the set of trees planted by Parth and B be the set of trees planted by Pradnya. 

So, n(A) = 70; n(B) = 90; n(A ∩ B) = 25 

n(A ∪ B) =?

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

n(A ∪ B) = 70 + 90 - 25

n(A ∪ B) = 135

Hence, the number of trees planted by Parth or Pradnya is 135.

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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 (4) | पृष्ठ १७
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