Permutations

#permutations#arrangements#n!

Statement

In how many ways can $5$ people sit in $5$ chairs in a row?

Hint

The first person has $5$ choices, the next $4$ , etc.

Show solutionHide solution

Product rule. $5\cdot4\cdot3\cdot2\cdot1=5!=120$ .

Conclusion. There are $120$ arrangements.