JEE Main 2026 — Permutation Combination Question with Solution
JEE Main 2026 (24 January Shift 1)
Question
The number of numbers greater than 5000, less than 9000 and divisible by 3, that can be formed using the digits , if the repetition of the digits is allowed, is
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Show full solutionCorrect answer: 42
Correct answer
42
Step-by-step explanation
(1) all different
ways
(2) 2 alike, 2 different
ways
ways
ways
ways
ways
ways
ways
(3) 3 alike, 1 different
ways
ways
(4) 2 alike, 2 other alike
ways
Total ways
ways
(2) 2 alike, 2 different
ways
ways
ways
ways
ways
ways
ways
(3) 3 alike, 1 different
ways
ways
(4) 2 alike, 2 other alike
ways
Total ways
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This is a previous-year question from JEE Main 2026, 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.