JEE Main 2012 — Functions Question with Solution
JEE Main 2012 (12 May Online)
Question
Statement 1: If and be two sets having and elements respectively, where . Then the total number of functions from set to set is
Statement 2: The total number of selections of different objects out of objects is .
Choose an option
Show full solutionCorrect option: D
Correct answer
DStatement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.
Step-by-step explanation
Statement-1:
Total number of functions from It is a true statement.
Statement - 2 : The total number of selections of different objects out of objects is .
It is also a true statement and it is a correct explanation for statement also.
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This is a previous-year question from JEE Main 2012, 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.