the sum of all the combinations of the digits 1,2,3,4 and 5

there are 120 five-digit numbers that can be formed by permuting the digits 1,2,3,4,5. What is the sum of all of these numbers?
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Each of the 5 digits appears 4!=24 times in each of the digital places (ones, tens, hundreds, thousands, ten thousands), so we only have to consider this sum=4!(1+2+3+4+5)=24×15=360.

The sum of all the permutations is 360×11111=399960.

by Top Rated User (1.2m points)

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