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Q.

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

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a

maximum value of n(A∩B)=3

b

minimum value of n(A∩B)=0

c

maximum value of n(A∪B)=21

d

minimum value of n(A∪B)=7

answer is C.

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Detailed Solution

detailed_solution_thumbnail

Let n(A)=α,n(B)=β,(α>β)

Given 2α−2β=120⇒α=7,β=3

∴n(A∪B)∈[7,10]

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