SOLUTION: Find the sum of all five-digit numbers that can be formed by using the digits 2,3,5,7 and 8, where each of these digits appears in each number

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Question 1110666: Find the sum of all five-digit numbers that can be formed by using the digits 2,3,5,7 and 8, where each of these digits appears in each number
Answer by KMST(5328) About Me  (Show Source):
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There are 5%21=5%2A4%2A3%2A2=120 such five-digit numbers.
Each digit will appear 4%21=4%2A3%2A2=24 times in each position,
so the sum of the digits at each position (ones, tens, hundreds, ...) will be
24%2A2%2B24%2A3%2B24%2A5%2B24%2A7%2B24%2A8=24%2A%282%2B3%2B5%2B7%2B8%29=24%2A25=600 ,
and the sum of all the ones, tens, hundreds, thousands, and ten-thousands will be