SOLUTION: Find the sum of all four digit numbers that can be formed using the digits 0,1,2,3,4, each digit appearing at most once

Question 917724: Find the sum of all four digit numbers that can be formed using the digits 0,1,2,3,4, each digit appearing at most once
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There are 5 possible choices for the each of the last 3 digits.
The first digit cannot be 0, so there are only 4 choices for the first digit.
That gives us a total of numbers.

The average of the unit digits is .
So the sum of all the unit digits is
The same goes for the tens digits and the hundreds digits,
so the sum of all tens digits is 1000, for a sum value of 10,000,
and the sum of all hundreds digits is 1000, for a sum value of 100,000
The average of the first digits is .
So the sum of all the first digits in all those 500 numbers must be
.
The value of that sum is (1000)(1250)=1,250,000.
The value of the sum of all 500 numbers is
1,250,000+100,000+10,000+1000=1,361,000.

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