Question

A box contains "r" red balls, "w" white balls, and "b" blue balls. Suppose that balls...

A box contains "r" red balls, "w" white balls, and "b" blue balls. Suppose that balls are drawn from the box one at a time, at random, without replacement. What is the probability that all "r" red balls will be obtained before any white balls are obtained?

The answer is (r!)(w!)/(r+w)! Can anyone explain why please?

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