Permutation & Combination
80 NDA Mathematics previous year questions (PYQs) from 19 papers, 2017 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 25 easy · 39 moderate · 16 hard.
- Most-asked subtopics: Forming Numbers from Digits (21), Arrangements with Restrictions (17), Factorials and Binomial Coefficients (17).
- Updated 14 September 2026.
#1Factorials and Binomial Coefficients
#2Factorials and Binomial Coefficients
#3Factorials and Binomial Coefficients
- NDA · Sep 2019 · Q27Moderate
#4Factorials and Binomial Coefficients
- NDA · Sep 2019 · Q30Moderate
#5Factorials and Binomial Coefficients
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#6Factorials and Binomial Coefficients
#7Factorials and Binomial Coefficients
- NDA · Apr 2022 · Q13Moderate
#8Factorials and Binomial Coefficients
#9Factorials and Binomial Coefficients
- NDA · Apr 2022 · Q48Moderate
#10Factorials and Binomial Coefficients
- NDA · Apr 2023 · Q19Moderate
#11Factorials and Binomial Coefficients
- NDA · Apr 2023 · Q27Moderate
#12Factorials and Binomial Coefficients
- Set · 2 questionsConsider the following for the next two (02) items that follow: Consider the sum .
- NDA · Apr 2023 · Q43Moderate
#13Factorials and Binomial Coefficients
- NDA · Apr 2023 · Q44Moderate
#14Factorials and Binomial Coefficients
- NDA · Apr 2026 · Q9Moderate
#15Factorials and Binomial Coefficients
#16Factorials and Binomial Coefficients
- NDA · Sep 2025 · Q3Moderate
#17Factorials and Binomial Coefficients
#18Arrangements with Restrictions
#19Arrangements with Restrictions
#20Arrangements with Restrictions
- NDA · Sep 2018 · Q117Moderate
#21Arrangements with Restrictions
- NDA · Apr 2019 · Q99Moderate
#22Arrangements with Restrictions
#23Arrangements with Restrictions
- NDA · Sep 2021 · Q18Moderate
#24Arrangements with Restrictions
- NDA · Apr 2022 · Q16Moderate
#25Arrangements with Restrictions
#26Arrangements with Restrictions
- Set · 3 questionsConsider the following for the next three (03) items that follow: Consider the word 'QUESTION':
- NDA · Sep 2022 · Q25Moderate
#27Arrangements with Restrictions
- NDA · Sep 2022 · Q26Moderate
#28Arrangements with Restrictions
- NDA · Sep 2022 · Q27Moderate
#29Arrangements with Restrictions
#30Arrangements with Restrictions
- NDA · Sep 2024 · Q14Moderate
#31Arrangements with Restrictions
- NDA · Sep 2024 · Q15Moderate
#32Arrangements with Restrictions
- NDA · Apr 2025 · Q15Moderate
#33Arrangements with Restrictions
#34Arrangements with Restrictions
#35Combinations
- NDA · Apr 2018 · Q119Moderate
#36Combinations
#37Combinations
- NDA · Apr 2019 · Q20Moderate
#38Combinations
#39Combinations
#40Combinations
- NDA · Sep 2023 · Q14Moderate
#41Combinations
#42Combinations
- NDA · Sep 2024 · Q17Moderate
#43Combinations
#44Combinations
#45Combinations
#46Combinations
- NDA · Sep 2026 · Q24Moderate
#47Forming Numbers from Digits
#48Forming Numbers from Digits
#49Forming Numbers from Digits
- NDA · Apr 2018 · Q12Moderate
#50Forming Numbers from Digits
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- Application of Derivatives76
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- Complex Numbers76
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- Definite Integration69
- Differential Equations67
- Differentiation89
- Functions115
- Height & Distance26
- Indefinite Integration42
- Inverse Trigonometry36
- Limits & Continuity87
- Lines104
- Logarithms27
- Matrices & Determinants181
- Probability176
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- Quadratic Equations67
- Sequence & Series93
- Sets & Relations75
- Statistics165
- Trigonometric Equations34
- Trigonometric Identities145
- Vectors102