How many different threedigit numbers can be written using d

How many different three-digit numbers can be written using digits from the set (1,2,3,4,5) without any repeating digits?

There are 5 digits in total. The numbers with 3 digits, with all digits distinct from each other, are the permutations of the 5 digits taken 3 at a time, and therefore there are 5*4*3 = 60 of them.

There are 60 3-digit numbers that can be created from the list of {1,2,3,4,5} with no number repeating.