SOLUTION: The access code for a car's security consists of four digits. The first digit cannot be 3 and the last digit must be odd. 1) How many diff codes are available?

Algebra ->  Probability-and-statistics -> SOLUTION: The access code for a car's security consists of four digits. The first digit cannot be 3 and the last digit must be odd. 1) How many diff codes are available?      Log On


   



Question 291630: The access code for a car's security consists of four digits. The first digit cannot be 3 and the last digit must be odd.
1) How many diff codes are available?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If there were no restrictions, there would be 10000 possible choices from 0000 to 9999.
Since the first number cannot be 3 then 3000-3999 are not available leaving only 9000 choices.
The last digit is either even or odd and are evenly distributed so 4500 odds and 4500 evens.
So that leaves 4500 available codes with the first number not 3 and the last digit not odd.