JEE Main Maths · Permutations and Combinations

Combinations of Distinct Objects

Combinations of Distinct Objects (Permutations and Combinations) was asked 7 times in 7 JEE Main shifts, 2017–2026, out of the 42 shifts Lumi analysed. 3 of the 7 had a numerical answer.

Times asked: 7; in 7 shifts
Years: 2017–2026
Usual format: Single correct; Multi-step
Pattern: Asked most years; repeats across shifts

How it is asked

Ways to win a series
Count words with letter-type restrictions

Difficulty

Easy 1Medium 4Hard 2

Where it sits

Chapter: Permutations and Combinations. Topic: Permutations and Combinations, 50 questions over 22 ideas.

All 7 questions

Newest first, each with its options and official answer.

5 Apr 2026, Shift 1 · Q22Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series. Assuming that no game ends…MediumNumerical value
5 Apr 2026, Shift 2 · Q9A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each colour, is :MediumSingle correct
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
25 Jul 2021, Shift 1 · Q89There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students can be…HardNumerical value
8 Jan 2020, Shift 1 · Q75An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn so that at the…EasyNumerical value
2 Apr 2017 (offline) · Q66A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and…HardSingle correct