JEE Mathematics

Combinations (C(n,r)): JEE Questions & Solutions

8 previous-year JEE Mathematics questions on Combinations (C(n,r)), each with a worked step-by-step solution.

Intermediate

Previous-year questions

  1. 01From all the English alphabets, five letters are chosen and are arranged in alphabetical order. The total number of ways, in which the…MCQEasyJEE 2025
  2. 02Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys and 4 girls can be invited…MCQMediumJEE 2025
  3. 03View questionMCQMediumJEE 2024
  4. 04If ⁿ⁺¹C_(r+1): ⁿC_r: ⁿ⁻¹C_(r-1) = 55: 35: 21, then 2n + 5r is equal to:MCQMediumJEE 2024
  5. 05Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples, and 8 oranges. If in the selected…NVAMediumJEE 2023
  6. 06Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1, 2, 3, and 5 and are divisible by 15 is…NVAMediumJEE 2023
  7. 07If ²ⁿC₃/ⁿC₃ = 10/1, then the ratio (n² + 3n): (n² - 3n + 4) is:MCQEasyJEE 2023
  8. 08Let the number of elements in sets A and B be five and two respectively. Then the number of subsets of A × B each having at least 3 and at…MCQEasyJEE 2023

Frequently asked questions

Our bank has 8 previous-year JEE Mathematics questions tagged to Combinations (C(n,r)), drawn from JEE papers between 2023 and 2025, including 2 from 2025 alone. Each comes with a full step-by-step solution.

Combinations (C(n,r)) is rated Intermediate overall for JEE Mathematics. The PYQs on this page break down as 5 medium, 3 easy.

Of the 8 previous-year questions on Combinations (C(n,r)), 6 are multiple-choice (MCQ) and 2 are numerical-value (NVA) questions.

Based on recent paper analysis, Combinations (C(n,r)) is worth about 1 mark in JEE Main. It sits in Permutations & Combinations, a Class 11 Mathematics chapter.

More Permutations & Combinations topics

Applications of P&C81Permutations (P(n,r))3Fundamental Principle of Counting1

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