JEE Main 2022 · MathsNumerical answerNumerical valueEasyCalculation

JEE Main 26 June 2022, Shift 1, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

There are ten boys

B_1, B_2, \ldots, B_{10}

and five girls

G_1, G_2, \ldots, G_5

in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both

B_1

and

B_2

together should not be the members of a group, is ________.

Official answer

1120

NTA final key.

Chapter: Permutations and Combinations
Topic: Permutations and Combinations
Idea tested: Combinations of Distinct Objects

Same idea in other shifts

Asked 16× in all

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6 Apr 2026, Shift 1 · Q7The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that can be formed from the…MediumSingle correct
7 Apr 2025, Shift 1 · Q8From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4…MediumSingle correct
4 Apr 2024, Shift 2 · Q24There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the number of…MediumNumerical value
10 Apr 2023, Shift 1 · Q24Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match,…MediumNumerical value
28 Jul 2022, Shift 2 · Q82A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168, then b + 3 g is equal to…EasyNumerical value
29 Jul 2022, Shift 1 · Q26The number of matrices of order $3 \times 3$ , whose entries are either 0 or 1 and the sum of all the entries is a prime number, is…MediumNumerical value

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.