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What is the sum of all possible numbers formed by 1,2,3,4,5?

3999960 5999880 9996600 5615615

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1 solution

Shohag Hossen
Jan 14, 2015

Here , ( 5! ) combination . So, there are 120 number all most. If we write one number under one then every column '5' has 24 time , '4' has 24 time , '3' column has 24 time , '2' has 24 time , '1' has 24 time. So, ( 24 * 5 ) + ( 24 * 4 ) + ( 24 * 3 ) + ( 24 * 2 ) + ( 24 * 1 ) = 360

Bellow , here are 5 column . Addition of every column is 360 . Now , by general adding system you can get answer.

12345

21345

54321

.............

.............

45321

~~~~~~~~~~~~~

3999960

[ For example , 47 +34 ===== 8 1 Here 2nd column addition is 11. and 1st column addition is 7 ]

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