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Permutations and Combinations Questions for NDA

Free, AI-curated practice for the Permutations and Combinations section of NDA. We have 12+ verified questions in this bank. Below: 5 sample questions. Sign up free to unlock unlimited practice + AI explanations + per-topic analytics.

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Sample questions

Q1 · easy · PYQ 2025
In how many ways can the letters of the word DELHI be arranged keeping the positions of vowels and consonants unchanged?
  1. 6
  2. 9
  3. 12
  4. 24
Q2 · easy · PYQ 2025
What is the number of positive integer solutions of x + y + z = 5?
  1. 3
  2. 5
  3. 6
  4. 9
Q3 · easy · PYQ 2025
If the number of selections of r as well as (n + r) things from 5n different things are equal, then what is the value of r?
  1. n
  2. 2n
  3. 3n
  4. 4n
Q4 · medium · PYQ 2025
How many 7-letter words (with or without meaning) can be constructed using all the letters of the word CAPITAL so that all consonants come together in each word?
  1. 360
  2. 300
  3. 288
  4. 240
Q5 · easy · PYQ 2026
How many numbers greater than 1000 can be formed using the digits 0, 1, 2 and 3 (repetition of digits is not allowed)?
  1. 24
  2. 18
  3. 15
  4. 12
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