Permutations And Combinations — NDA Previous Year Questions

58 solved PYQs · 2021–2025 · Mathematics

Solved PYQs: 58
Years covered: 2021–2025
Avg / year: ~12
Subject: Mathematics

How many NDA questions come from Permutations And Combinations?

Permutations And Combinations has contributed 58 questions to National Defence Academy Examination papers between 2021 and 2025 — an average of about 12 questions a year. That count is measured from EByAi’s bank of 15,695 NDA questions, not estimated from a syllabus. Every one of the 58 questions carries a written, step-by-step solution, and each is tagged to Permutations And Combinations within Mathematics, so you can drill this chapter across every year at once instead of hunting through paper PDFs. Practising a chapter’s full PYQ history is the fastest way to learn the patterns examiners reuse.

Sample Permutations And Combinations questions from real NDA papers

These are 5 real questions from the bank — exactly as asked, with the answer one tap away. All 58 Permutations And Combinations questions (with full written solutions) are available in practice.

Question 1 · NDA 2025
How many triangles can be formed by joining these points?
1. (A) $56$
2. (B) $54$
3. (C) $53$
4. (D) $52$
Show answerAnswer
$Answer: (D) 52$
Question 2 · NDA 2025
What is the number of positive integer solutions of x+y+z=5?
1. (A) $3$
2. (B) $5$
3. (C) $6$
4. (D) $9$
Show answerAnswer
$Answer: (C) 6$
Question 3 · NDA 2025
How many sides are there in a polygon that has 20 diagonals?
1. (A) $6$
2. (B) $7$
3. (C) $8$
4. (D) $10$
Show answerAnswer
$Answer: (C) 8$
Question 4 · NDA 2025
How many quadrilaterals can be formed by joining these points?
1. (A) $70$
2. (B) $69$
3. (C) $53$
4. (D) $None of the above$
Show answerAnswer
$Answer: (B) 69$
Question 5 · NDA 2025
Let y = x! and z = (2x)! If (z / y) = 120 then what is the value of (3x)!?
1. (A) $362880$
2. (B) $181440$
3. (C) $90720$
4. (D) $45360$
Show answerAnswer
$Answer: (A) 362880$

Permutations And Combinations questions by year

Year	Questions	Share of chapter questions
2025	11
2024	14
2023	10
2022	13
2021	10

Practise these 58 questions with solutions

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FAQs

How many NDA questions have been asked from Permutations And Combinations?

EByAi's bank holds 58 real NDA questions from Permutations And Combinations, asked between 2021 and 2025 — about 12 per year on average. Every count is measured from actual papers, not estimated.

Is Permutations And Combinations important for NDA?

58 questions over 5 papers make Permutations And Combinations a steady-weightage chapter in NDA Mathematics. The year-wise table above shows exactly how often it appears.

Can I solve Permutations And Combinations PYQs online for free?

Yes. EByAi lets you solve NDA past-year questions in the browser with written solutions — free daily practice, no card needed.

More NDA Mathematics chapters

All NDA Mathematics chapters →NDA overview →