JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 11 April 2023, Shift 1, Maths Q4

Question 4 of 90 in this shift, Maths question 4 of 30, Section A.

The number of triplets

(x, y, z)

, where

x, y, z

are distinct non negative integers satisfying

x + y + z = 15

, is

(1)136
(2)114Official answer
(3)92
(4)80

Official answer

Option 2

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Distribution of Identical Objects

Same idea in other shifts

Asked 4× in all

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

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.