JEE Main 2026 — Permutation Combination Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
The number of ways, in which 16 oranges can be distributed to four children such that each child gets at least one orange, is
Choose an option
Show full solutionCorrect option: A
Correct answer
A455
Step-by-step explanation
Distributing 16 identical oranges to 4 children with each getting at least 1.
Let for and .
Substituting : .
By stars and bars, number of ways .
Let for and .
Substituting : .
By stars and bars, number of 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.