SOLUTION: In how many ways can a 3 digit number be formed using the numbers 0-9, if each digit is used only one time? help please Thank you! show all work please :)

Algebra ->  Permutations -> SOLUTION: In how many ways can a 3 digit number be formed using the numbers 0-9, if each digit is used only one time? help please Thank you! show all work please :)      Log On


   



Question 987285: In how many ways can a 3 digit number be formed using the numbers 0-9, if each digit is used only one time?
help please
Thank you!
show all work please :)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

In how many ways can a 3 digit number be formed using the numbers 0-9, if each digit is used only one time?
help please
Thank you!
show all work please :)
A 3-digit number CANNOT have 0 as its first or hundreds digit
Therefore, first digit can be any of 9 digits (1 - 9)
Second digit can be any of 9 digits (0, or any digit except the first digit)
Third digit can be any of 8 digits (Any digit except the first or second digit)
Number of ways: 9(9)(8), or highlight_green%28648%29