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.Com
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)   (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
RELATED QUESTIONS

How many 4 - digit even numbers can be formed from the digits 0 to 9 if each digit is... (answered by ikleyn)
How many three digit numbers can you make using the numbers 1, 3, 5, 7. Each number can... (answered by jim_thompson5910)
Consider making a four-digit I.D. number using the digits 3,5,8, and 0 a. How many I.D.... (answered by lynnlo)
If no digit may be used more than once, how many 3-digit numbers can be formed using only (answered by Alan3354)
How many different four-digit numbers can be formed using the digits 0 through 9 if no... (answered by oscargut)
How many three digit numbers can be formed from the digits 1,2,3,4,and 5, if each digit (answered by ewatrrr)
How many three-digit numbers greater than 300 can be formed from 0, 1, 2, 3, 4, 5 and 6,... (answered by Edwin McCravy)
How many four-digit odd numbers can be formed from the digits 1, 2, 4, 5, 6, and 9 if... (answered by Edwin McCravy)
If no digit may be used more than once, how many five- digit numbers can be formed using... (answered by ikleyn)