Permutations and Combinations

JEE Main · Mathematics · 9 past questions

These are the board's own papers. 169 more board questions reprinted in the books we use in class are for signed-in students: sign in.

1. Q1 2026 2 Apr Shift 1

   The number of seven-digit numbers, that can be formed by using the digits 1, 2, 3, 5 and 7 such that each…

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2. Q2 2026 2 Apr Shift 2

   Let $p_n$ denote the total number of triangles formed by joining the vertices of an n-side regular polygon.…

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3. Q3 2026 4 Apr Shift 1

   The number of ways, of forming a queue of 4 boys and 3 girls such that all the girls are not together, is…

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4. Q4 2026 4 Apr Shift 2

   Let $A=\{(a,b,c): a,b,c \text{ are non-negative integers and } a+b+2c=22\}$. Then $n(A)$ is equal to…

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5. Q5 2026 5 Apr Shift 1

   Two players A and B play a series of games of badminton. The player, who wins 5 games first, wins the series.…

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6. Q6 2026 5 Apr Shift 2

   A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least…

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7. Q7 2026 6 Apr Shift 1

   The number of 4-letter words, with or without meaning, each consisting of two vowels and two consonants that…

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8. Q8 2026 6 Apr Shift 2

   A building has ground floor and 10 more floors. Nine persons enter in a lift at the ground floor. The lift…

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9. Q9 2026 8 Apr Shift 2

   A person has three different bags and four different books. The number of ways, in which he can put these…

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