JEE Main 2024MathematicsPermutation CombinationEasyMCQ

JEE Main 2024 — Permutation Combination Question with Solution

JEE Main 2024 (31 Jan Shift 2)

Question

The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, is

Choose an option

Show full solutionCorrect option: D
Correct answer
D136

Step-by-step explanation

Let us initially distribute 2 apples to each children.

So, the remaining 15 apples are to be distributed such that each children can get any number of apples.

So, the required number of ways will be given by N=Cr-1n+r-1.

⇒N=C215+3-1

⇒N=C217

⇒N=17×162

⇒N=136

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About this question

This is a previous-year question from JEE Main 2024, 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.