# Permutations and Combinations · Mathematics · NDA

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NDA Mathematics 21 April 2024
What is the sum of all four-digit numbers formed by using all digits 0, 1, 4, 5 without repetition of digits?
NDA Mathematics 21 April 2024
A man has 7 relatives (4 women and 3 men). His wife also has 7 relatives (3 women and 4 men). In how many ways can they invite 3 women and 3 men so th...
NDA Mathematics 21 April 2024
A triangle $PQR$ is such that 3 points lie on the side $PQ$, 4 points on $QR$ and 5 points on $RP$ respectively. Triangles are constructed using these...
NDA Mathematics 21 April 2024
If $26! = n8^k$, where $k$ and $n$ are positive integers, then what is the maximum value of $k$?
NDA Mathematics 21 April 2024
How many four-digit natural numbers are there such that all of the digits are even?
NDA Mathematics 21 April 2024
Four digit numbers are formed by using the digits 1, 2, 3, 5 without repetition of digits. How many of them are divisible by 4?
NDA Mathematics 21 April 2024
What is the number of different matrices, each having 4 entries that can be formed using 1, 2, 3, 4 (repetition is allowed)?
NDA Mathematics 3 September 2023
If 1! + 3! + 5! + 7! + ... + 199! is divided by 24, what is the remainder?
NDA Mathematics 3 September 2023
What is the maximum number of points of intersection of 10 circles?
NDA Mathematics 3 September 2023
If H is the Harmonic Mean of three numbers 10C4, 10C5, and 10C6, then what is the value of $\frac{270}{H}$ ?...
NDA Mathematics 16 April 2023
What is the number of 6-digit numbers that can be formed only by using 0, 1, 2, 3, 4 and 5 (each once); and divisible by 6 ?
NDA Mathematics 16 April 2023
Consider the following statements : 1. (25)! + 1 is divisible by 26 2. (6)! + 1 is divisible by 7 Which of the above statements is/are correct ?&nb...
NDA Mathematics 16 April 2023
m parallel lines cut n parallel lines giving rise to 60 parallelograms. What is the value of (m + n) ?
NDA Mathematics 16 April 2023
Let x be the number of permutations of the word ‘PERMUTATIONS’ and y be the number of permutations of the word ‘COMBINATIONS’. Which one of the follow...
NDA Mathematics 16 April 2023
5-digit numbers are formed using the digits 0, 1, 2, 4, 5 without repetition. What is the percentage of numbers which are greater than 50,000 ?
NDA Mathematics 16 April 2023
If the sum S is divided by 8, what is the remainder ?
NDA Mathematics 16 April 2023
If the sum S is divided by 60, what is the remainder ?
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