Color balloons problem

Level pending

A bag contains some blue and some pink color balloons, all combinations of balloons being equally likely. The total number of color balloons in the bag is 10. If three balloons are drawn at random without replacement and all of them are found to be pink, the probability that the bag contains 1 blue and 9 pink color balloons is \(a/b\). What is the value of \(a+b\)?

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