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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