JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 February 2021, Shift 1, Maths Q70

Question 70 of 90 in this shift, Maths question 10 of 30, Section A.

The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only is :

(1) $42$
(2) $35$
(3) $77$ Official answer
(4) $82$

Official answer

Option 3

NTA final key.

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

Same idea in other shifts

Asked 11× 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
5 Apr 2024, Shift 1 · Q23The number of ways of getting a sum 16 on throwing a dice four times is ________.MediumNumerical value
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
1 Feb 2024, Shift 1 · Q24The number of elements in the set $S=\{(x,y,z): x,y,z\in\mathbb{Z}, x+2y+3z=42, x,y,z\geq0\}$ equals __________.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
27 Jun 2022, Shift 2 · Q23Let $A$ be a matrix of order $2\times2$ , whose entries are from the set $\{0, 1, 2, 3, 4, 5\}$ . If the sum of all the entries of $A$ is a…HardNumerical value
28 Jun 2022, Shift 2 · Q3The number of ways to distribute 30 identical candies among four children $C_1, C_2, C_3$ and $C_4$ so that $C_2$ receives atleast 4 and…MediumSingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.