# MOTORCYCLE Parking

Discrete Mathematics Level 1

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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