JEE Main 2020MathematicsPermutation CombinationMediumNumerical

JEE Main 2020 — Permutation Combination Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word EXAMINATION is

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Show full solutionCorrect answer: 2454
Correct answer
2454

Step-by-step explanation

EXAMINATION
2N,2A,2I,E,X,M,T,O
Case I: All are different, so 8P4=8!4!=8·7·6·5=1680
Case II: 2 same and 2 different, so 3C1C274!2!=3·21·12=756
Case III: 2 same and 2 same, so 3C24!2!2!=3·6=18
Total number of words=1680+756+18=2454

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About this question

This is a previous-year question from JEE Main 2020, 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.