JEE Main 2019 — Permutation Combination Question with Solution
JEE Main 2019 (12 Jan Shift 1)
Question
Let , then number of non-empty subsets of such that the product of elements in is even is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
As we know that the product of numbers is even when at least one of the number must be even.
Hence total subsets of in which product of numbers is even Total subsets total subsets in which all the elements are odd
.
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This is a previous-year question from JEE Main 2019, covering the Permutation Combination 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.