JEE Main 2025 — Permutation Combination Question with Solution
JEE Main 2025 (29 Jan Shift 1)
Question
The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that appears in the word must appear at least twice, is _______.
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Show full solutionCorrect answer: 1405
Correct answer
1405
Step-by-step explanation
(i) Single letter is used, then no. of words
(ii) Two distinct letters are used, then no. of words
(iii) Three distinct letters are used, then no. of words
Total no. of words
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This is a previous-year question from JEE Main 2025, 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.