WBJEE · Mathematics

Permutations and combinations

8 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 8 questions

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 $6$ people?
In how many ways can a committee of $4$ be chosen from $12$ people?
How many different arrangements of $5$ distinct books are possible on a shelf?
Four men and four women (including two particular women, $W_{1}$ and $W_{2}$ ) are to be seated in a row so that no two men sit next to each other and $W_{1}$ , $W_{2}$ are not seated next to each other. The nu…
In how many ways can a committee of $4$ be chosen from $9$ people?
How many different arrangements of $7$ distinct books are possible on a shelf?
How many different arrangements of $6$ distinct books are possible on a shelf?

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