In how many ways can 6 persons stand in a queue?

Explanation

The number of ways given by
`\frac{n!}{(n-r)!}`

Since the number of ways in which 6 persons can stand in a queue is same as the number of arrangements of 6 different things taken all at a time.
Hence the number of ways in which 6 persons can stand is

`\frac{6!}{(6-6)!}=6!`

Hence, the required number of ways =`720`