# Knights Around A Table

Discrete Mathematics Level 3

25 of King Arthur's are seated at the round table. Three of them are randomly chosen to be sent off to slay a troublesome dragon. Let $$P$$ be the probability that at least two of the three had been sitting next to each other. If $$P$$ can be expressed as $$\frac {a}{b}$$, where $$a$$ and $$b$$ are pairwise coprime integers, find $$a+b$$.

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