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There are 260 persons with skin disorders. If 150 had been exposed to the chemical A, 74 to the chemical B, and 36 to both chemicals A and B, find the number of persons exposed to Chemical A

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प्रश्न

There are 260 persons with skin disorders. If 150 had been exposed to the chemical A, 74 to the chemical B, and 36 to both chemicals A and B, find the number of persons exposed to Chemical A or Chemical B

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उत्तर

Let A = set of persons exposed to chemical A

B = set of persons exposed to chemical B

X = set of all persons

∴ n(X) = 260, n(A) = 150, n(B) = 74 and n(A ∩ B) = 36

No. of persons exposed to chemical A or chemical B

= n(A ∪ B)

= n(A) + n(B) − n(A ∩ B)

= 150 + 74 − 36

= 188

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अध्याय 5: Sets and Relations - Exercise 5.1 [पृष्ठ ९८]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 5 Sets and Relations
Exercise 5.1 | Q 10. (iii) | पृष्ठ ९८

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