NDA · Mathematics
Permutation Combination
38 practice questions for NDA — 30 easy · 8 medium · 0 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
How many four-digit natural numbers are there such that all of the digits are odd?
MCQ
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 following is correct?
MCQ
How many four-digit natural numbers are there such that all of the digits are even?
MCQ
Where $A^{\prime}$ is the complement of $A$. Let $x$ be the number of integers lying between 2999 and 8001 which have at least two digits equal. Then x is equal to
MCQ
What is the number of ways in which the letters of the word 'ABLE' can be arranged so that the vowels occupy even places?
MCQ
The number of ways in which 3 holiday tickets can be given to 20 employees of an organization if each employee is eligible for any one or more of the tickets, is
MCQ
If $26!={ }_n 8^k$, where $k$ and $n$ are positive integers, then what is the maximum value of $k$ ?
MCQ
How many 5-digit prime numbers can be formed using the digits $1,2,3,4,5$ if the repetition of digits is not allowed?
MCQ
What is the number of positive integer solutions of $x + y + z = 5$?
MCQ
From 6 programmers and 4 typists, an office wants to recruit 5 people. What is the number of ways this can be done so as to recruit at least one typist?
MCQ
What is $\mathrm{C}(47,4)+\mathrm{C}(51,3)+\mathrm{C}(50,3)+\mathrm{C}(49,3)+\mathrm{C}(48,3)+$ C $(47,3)$ equal to?
MCQ
A five-digit number divisible by 3 is to be formed using the digits $0,1,2,3$ and 4 without repetition of digits. What is the number of ways this can be done?