# Monkeys typing on Typewriters

Lorcan the monkey sits on a typewriter and types 6 letters randomly. The probability that he types out lorcan'' on the typewriter can be expressed as $$\frac ab$$ where $$a$$ and $$b$$ are co-prime positive integers. Find the remainder when $$a+b$$ is divided by 1000?

Details and Assumptions

The typewriter consists of 26 buttons labelled $$a$$ to $$z$$, and no other buttons

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