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If n(P(A)) = 1024, n(A ∪ B) = 15 and n(P(B)) = 32, then find n(A ∩ B) - Mathematics

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प्रश्न

If n(P(A)) = 1024, n(A ∪ B) = 15 and n(P(B)) = 32, then find n(A ∩ B)

बेरीज

उत्तर

Given n(P(A)) = 1024, n(A ∪ B) = 15, n(P(B)) = 32

n(P(A)) = 1024 = 210 n(A) = 10

n(P(B)) = 32 = 25 = n(B) = 5

n(A ∪ B) = n(A) + n(B) – n(A ∩ B)

15 = 10 + 5 – n(A ∩ B)

15 = 15 – n(A ∩ B)

n(A ∩ B) = 0

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Cartesian Product
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पाठ 1: Sets, Relations and Functions - Exercise 1.1 [पृष्ठ ७]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 1 Sets, Relations and Functions
Exercise 1.1 | Q 6 | पृष्ठ ७
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