SOLUTION: How many 3-digits numbers can be formed using the digits from 1 to 5 if the digit 2 is not used?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: How many 3-digits numbers can be formed using the digits from 1 to 5 if the digit 2 is not used?      Log On


   



Question 1191843: How many 3-digits numbers can be formed using the digits
from 1 to 5 if the digit 2 is not used?

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
We are selecting three digits from {1,3,4,5}

We can choose the first digit any of 4 ways, as 1,3,4, or 5.

For each of those 4 ways to choose the first digit, we can 
then choose the second digit any of 4 ways, as 1,3,4, or 5, 
since we can choose the same digit more than once.

That's (4)(4) ways we can choose the first two digits.
 
For each of those (4)(4) ways we can choose the first and 
second digits, we can then choose the third digit any of 4 
ways, as 1,3,4, or 5, since we can choose the same digit 
more than once.

That's (4)(4)(4) ways we can choose the first three digits.
Multiply that out.  That's the answer.

Edwin