NTA Abhyas JEE Main2020MathematicsSets and RelationsPractice
If the difference between the number of subsets of the sets A and B is 120 , then choose the incorrect option.
Options
- AMaximum value of n A ∩ B = 3
- BMinimum value of n A ∩ B = 0
- CMaximum value of n A ∪ B = 21
- DMinimum value of n A ∪ B = 7
Correct answer
C. Maximum value of n A ∪ B = 21
Step-by-step solution
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