JEE Main 2024 — Functions Question with Solution
From: JEE Main 2024 (Online) 30th January Morning Shift
Question
Let and let denote the power set of . If the number of functions such that is and and is least, then is equal to _________.
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Show full solutionCorrect answer: 44
Step-by-step explanation
That means '' will connect with subset which contain element ''.
Total options for 1 will be . (Because subsets contains 1)
Similarly, for every other element
Hence, total is
Ans.
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This is a previous-year question from JEE Main 2024, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.