Question

A mother duck lines her 8 ducklings up behind her. in how many ways can the ducklings line up?

Answer 1

In position one, we can have any of the 8 ducks

In position two, we can have 7 ducks, since one has to occupy position one

and so on

then, we have:

`8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1=8!`

the factorial of 8 is 40320