JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 24 February 2021, Shift 2, Maths Q85

Question 85 of 90 in this shift, Maths question 25 of 30, Section B.

The students

\mathrm{S_1, S_2, \ldots., S_{10}}

are to be divided into 3 groups A, B and C such that each group has at least one student and the group C has at most 3 students. Then the total number of possibilities of forming such groups is __________.

Official answer

31650

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Division of Objects into Groups

Same idea in other shifts

Asked 3× in all

6 Apr 2026, Shift 2 · Q7A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift goes up to the 10 $^{\text{th}}$ …MediumSingle correct
5 Apr 2024, Shift 2 · Q1Let the set $S=\{2, 4, 8, 16, \ldots, 512\}$ be partitioned into 3 sets $A, B, C$ with equal number of elements such that…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.