If there are \(abcdef\) distinct arrangements for the letters of the word MOTORCYCLE, find \(a+b+c+d+e+f\).

Details and Assumptions

\(abcdef\) is a 6-digit number.

An arrangement does not have to be readable, one arrangement can be "RMTOOCCLYE".

Note: This question is taken from the Mathizen Question of the Day.


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