JEE Main 2022 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 28 June 2022, Shift 2, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A.

The 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 atmost 7 candies,

C_3

receives atleast 2 and atmost 6 candies, is equal to :

(1)205
(2)615
(3)510
(4)430Official answer

Official answer

Option 4

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

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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
25 Feb 2021, Shift 1 · Q78The total number of positive integral solutions $(x, y, z)$ such that $xyz = 24$ is :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.