JEE Main 2022 Mathematics question

MathematicsSets and RelationJEE Main 2022

Let A = {1, 2, 3, 4, 5, 6, 7} and B = {3, 6, 7, 9}. Then the number of elements in the set {C ⊆ A : C Extra close brace or missing open brace\cap B \ne \phi } is .

Answer: 112

Solution

C means C contains at least one of 3, 6, 7. The subsets of A that avoid 3, 6 and 7 are the subsets of {1,

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Question ID VK-025094