JEE Main · Mathematics

Permutations and combinations

24 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 24 questions

In how many ways can a committee of $4$ be chosen from $11$ people?
In how many ways can a committee of $3$ be chosen from $8$ people?
In how many ways can a committee of $4$ be chosen from $9$ people?
In how many ways can a committee of $4$ be chosen from $10$ people?
In how many ways can a committee of $2$ be chosen from $11$ people?
How many different arrangements of $4$ distinct books are possible on a shelf?
How many different arrangements of $6$ distinct books are possible on a shelf?
How many different arrangements of $7$ distinct books are possible on a shelf?
In how many ways can a committee of $2$ be chosen from $9$ people?
In how many distinct arrangements of the letters of the word BANANAS are no two A's next to each other?
How many ordered quadruples $(x_{1}, x_{2}, x_{3}, x_{4})$ of integers satisfy $x_{1} + x_{2} + x_{3} + x_{4} = 20$ with $1 \leq x_{i} \leq 8$ for every $i$ ?
How many $4$ -digit numbers with all digits distinct, chosen from $0, 1, 2, 3, 4, 5, 6$ , are divisible by $5$ ?
The number of different four-letter arrangements (with or without meaning) that can be formed from the letters of the word ENGINEERING is
How many different arrangements of $5$ distinct books are possible on a shelf?
In how many ways can a committee of $2$ be chosen from $7$ people?
In how many ways can a committee of $4$ be chosen from $7$ people?
In how many ways can a committee of $4$ be chosen from $6$ people?
In how many ways can a committee of $3$ be chosen from $6$ people?
In how many ways can a committee of $2$ be chosen from $6$ people?
In how many ways can a committee of $2$ be chosen from $8$ people?
In how many ways can a committee of $4$ be chosen from $12$ people?
In how many ways can a committee of $3$ be chosen from $10$ people?
In how many ways can a committee of $3$ be chosen from $7$ people?
In how many ways can a committee of $3$ be chosen from $12$ people?

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Permutations and combinations

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