JEE Main 2022MathematicsPermutation CombinationMediumNumerical

JEE Main 2022 — Permutation Combination Question with Solution

JEE Main 2022 (25 Jun Shift 2)

Question

The total number of three-digit numbers, with one digit repeated exactly two times, is ______.

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Show full solutionCorrect answer: 243
Correct answer
243

Step-by-step explanation

For three digit number we have following cases,

Case I: When digit zero is repeated

Number of numbers =C19=9

Case II: When digit zero is present but not repeated

Number of numbers =C19·2!=18

Case III: When digit zero is not present

Number of numbers =9·8·3!2!=216

Total number of numbers =243

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About this question

This is a previous-year question from JEE Main 2022, 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.