Knights Around A Table

Probability Level 3

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

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