Thread: Digits

you have numbers from 0-9 how many 5 digit even numbers can you make with no numbers repeating. Example 13598, not 11234

There are a couple of things to be careful of with this problem: your first and last digit are restricted - you can not have a 0 leading, and you can not have an odd number trailing. I would do the problem in two parts - calculating the number of 5 digit numbers you can make with an even number trailing (which is the same as calculating the number of 4 digit numbers multiplied by the number of even numbers trailing), and subtract from that amount the number of numbers you get with a leading 0 multiplied by 4 digit numbers (with a even number trailing).

Use the above and take a crack at it.

Is the answer 12096?