# A problem on probability

Discrete Mathematics Level pending

Three numbers are chosen at random from the set $$\{0,1,2,\ldots,29\}$$without replacement. The probability that the sum of the numbers is 30 is?

Answer is in the form of $$\dfrac{a}{b})$$. Where $$a$$ and $$b$$ are coprime positive integers, find $$a+b$$.

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