JEE Main 2012 — Permutation Combination Question with Solution
JEE Main 2012 (19 May Online)
Question
The number of arrangements that can be formed from the letters taken 3 at a time without repetition and each arrangement containing at least one vowel, is
Choose an option
Show full solutionCorrect option: A
Correct answer
A96
Step-by-step explanation
There are 2 vowels and 4 consonants in the letters .
If we select one vowel, then number of arrangements
If we select two vowels, then number of arrangements
Hence, total number of arrangements
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This is a previous-year question from JEE Main 2012, 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.