JEE Main 2022 Mathematics question
Let A = {1, 2, 3, 4, 5, 6, 7}. Define B = {T ⊆ A : either 1 ∉ T or 2 T} and C = {T ⊆ A : T the sum of all the elements of T is a prime number}. Then the number of elements in the set B C is
Answer: 107
Solution
(B is the set of subsets of A containing the element 1 and not containing 2, and is the set of subsets whose sum of elements is not prime. So count the subsets of {3, 4, 5,
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