The post says nothing about restrictions to digits;
so by DEFAULT I can assume that any of 10 digits from 0 to 9 can occupy any position.
If so, then the answer is 10*9*8*7*6 = 30240 (the product of 5 factors).
Solved.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! 5 choices for the 1st digit
can't repeat, so 4 choices for the 2nd digit
can't repeat, so 3 choices for the 3rd digit
2 choices for the 4th
1 choice for the 5th
120 possible codes