1
The number of ways to distribute 10 identical red pens and 14 identical blue pens among four persons such that each person gets 6 pens, is .
JEE Advanced 2026 Paper 1
Permutations and Combinations
Previous year questions with solutions · 2024 – 2026
3Questions
3Papers covered
2.94% ↓5.9%Weightage in 2026
’24
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
| Year | Questions | Papers | Avg / paper | Weightage |
|---|---|---|---|---|
| 2026 | 1 | 2 | 0.5 | 2.94% ↓5.9% |
| 2025 | 1 | 2 | 0.5 | 3.12% ↑6.2% |
| 2024 | 1 | 2 | 0.5 | 2.94% |
2
Let S be the set of all seven-digit numbers that can be formed using the digits 0, 1 and 2. For example, 2210222 is in S, but 0210222 is NOT in S. Then the number of elements x in S such that at least one of the digits 0 and 1 appears exactly twice in x, is equal to .
JEE Advanced 2025 Paper 1
3
A group of 9 students, s1,s2, ,s9, is to be divided to form three teams X,Y, and Z of sizes 2,3, and 4, respectively. Suppose that s1 cannot be selected for the team X, and s2 cannot be selected for the team Y. Then the number of ways to form such teams, is .
JEE Advanced 2024 Paper 1