If the difference between the number of subsets of the sets A and B is 120 , then choose the incorrect option.

Question

If the difference between the number of subsets of the sets A and B is 120 , then choose the incorrect option., Maximum value of n A ∩ B = 3, Minimum value of n A ∩ B = 0, Maximum value of n A ∪ B = 21, Minimum value of n A ∪ B = 7

MARKS App · Accepted Answer

Let, n A = α , n B = β α > β given, 2 α - 2 β = 120 ⇒ α = 7 , β = 3 ∴ n A ∩ B ∈ 0 , 3 ∵ n A ∪ B = α + β = n A ∩ B n A ∪ B ∈ 7 , 10

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