JEE Main Maths · Permutations and Combinations

Distribution of Identical Objects

Distribution of Identical Objects (Permutations and Combinations) was asked 4 times in 4 JEE Main shifts, 2023–2026, out of the 42 shifts Lumi analysed. 1 of the 4 had a numerical answer.

Times asked: 4; in 4 shifts
Years: 2023–2026
Usual format: Single correct; Calculation
Pattern: Frequent; repeats across shifts

How it is asked

Count solutions of linear equation
Distribution of identical objects with minimum

Difficulty

Easy 1Medium 3Hard 0

Where it sits

Chapter: Permutations and Combinations. Topic: Permutations and Combinations, 50 questions over 22 ideas.

All 4 questions

Newest first, each with its options and official answer.

4 Apr 2026, Shift 2 · Q17Let $A=\{(a,b,c):a,b,c$ are non-negative integers and $a+b+2c=22\}$ . Then $n(A)$ is equal to:MediumSingle correct
9 Apr 2024, Shift 2 · Q23The number of integers, between 100 and 1000 having the sum of their digits equals to 14, is ______________.MediumNumerical value
31 Jan 2024, Shift 2 · Q5The number of ways in which 21 identical apples can be distributed among three children such that each child gets at least 2 apples, isEasySingle correct
11 Apr 2023, Shift 1 · Q4The number of triplets $(x, y, z)$ , where $x, y, z$ are distinct non negative integers satisfying $x + y + z = 15$ , isMediumSingle correct