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