Combo-algebra

For each non empty subset of {1 , 2 , 3 , 4 , 5 , 6} arrange the members in decreasig order with alternate + & ― signs starting with + sign and take the sum. {e.g. for the subset {5} we get the sum = 5. For the subset {3,2,1} we get the sum = 3 – 2 + 1 = 2.}

Find the sum of all resulting numbers.


The answer is 192.

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