JEE Main 2024 Mathematics question
Let A = {1, 2, 3, …, 7} and let P(A) denote the power set of A. If the number of functions f : A → P(A) such that a ∈ f(a), ∀ a ∈ A is mⁿ, m and n ∈ ℕ and m is least, then m + n is equal to .
Answer: 44
Solution
For each a, f(a) must contain a, and the other 6 elements can be chosen freely: 2⁶
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