Mathematics · Permutations and Combinations

JEE Main 2024 — 31 January, Shift 2 — Question 1

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

Option A:
406
Option B:
130
Option C:
142
Option D:
136
Correct

Answer: D

Step-by-step solution

After giving 2 apples to each child 15 apples left now 15 apples can be distributed in

${ }^{15+3-1} \mathrm{C}_{2}={ }^{17} \mathrm{C}_{2}$ ways $=\frac{17 \times 16}{2}=136$

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Exam: JEE Main 2024
Paper: 31 January, Shift 2
Subject: Mathematics
Chapter: Permutations and Combinations
Topic: Number of integral solution of linear Equations

If for some m, n ; ^6 C m+2 ( ^6 C m+1 )+ ^6 C m+2 ^8 C 3 and ^ n-1 P 3: ^ n P 4=1: 8 , then ^ n P m+1+ ^ n+1 C m is equal to

The number of ways in which 21 identical apples can be distributed… | JEE Main 2024 PYQ with Solution · DhiX AI