NDA Permutations and Combinations questions with solutions
Counting arrangements and selections. 25 questions from our 2016–2025 NDA pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.
NDA 2025
NDA 2023
- The number of distinct arrangements of the letters of the word BANANA is
- A team of 4 is to be selected from 6 boys and 3 girls so that it contains exactly 2 girls.
- The number of ways of selecting 3 distinct numbers from \1,2,…,20\ such that their sum is divisible by 3 is
- If binom nr=binom ns, then necessarily r=s. 2. The number of diagonals of a convex n-gon is binom n2.
NDA 2022
NDA 2021
NDA 2020
- A team of 4 is chosen from 6 boys and 5 girls so that it has at most 2 girls.
- How many three-digit numbers divisible by 5 can be formed from the digits 0, 2, 5, 7, 9 if no digit is repeated?
- If binomn8=binomn12, then binomn2 equals
- In how many ways can 5 boys and 3 girls stand in a row so that no two girls are adjacent?
NDA 2019
- The number of arrangements of the letters of the word BANANA in which no two A's are adjacent is
- A committee of 4 is to be chosen from 6 men and 4 women so that it has at least 2 women.
- The number of 4-digit numbers greater than 5000 that can be formed from the digits 3,5,6,7,9 without repetition is
- Four cards are drawn from a pack of 52 cards. The number of ways in which all four cards are of the same suit is
- If all the permutations of the letters of the word NDA are arranged in alphabetical order as in a dictionary, the rank of the word NDA is
NDA 2018
NDA 2017
NDA 2016
Other Mathematics topics
Three Dimensional Geometry 48Vector Algebra 60Complex Numbers and Quadratic Equations 35Binomial Theorem 16Sequences and Series 36Quadratic Equations 27Statistics 35Probability 27Matrices 37Determinants 13Sets, Relations and Functions 39Binary Number System 11Logarithms 11Inverse Trigonometric Functions 22Trigonometric Functions and Identities 49Trigonometric Equations 16Properties of Triangles 18Heights and Distances 12Straight Lines 43Circles 21Conic Sections 28Limits 23Continuity and Differentiability 16Application of Derivatives 34Derivatives 33Integrals 16Definite Integrals 23Application of Integrals 12Differential Equations 30