JEE Main 2021 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 17 March 2021, Shift 1, Maths Q65

Question 65 of 90 in this shift, Maths question 5 of 30, Section A.

Team ‘A’ consists of 7 boys and n girls and Team ‘B’ has 4 boys and 6 girls. If a total of 52 single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then n is equal to :

(1)2
(2)4Official answer
(3)5
(4)6

Official answer

Option 2

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.