WMC 2018 Pursuit - Pack 1, C1

If the letters T R A P D O O R TRAPDOOR are randomly arranged in a row, the probability that the two R's are adjacent and the two O's are adjacent is a b \frac{a}{b} , where a a and b b are relatively prime. Find a + b a+b .

WMC Pursuit Questions


The answer is 15.

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