6 men and 4 women are ranked according to their scores on an exam. Assume that no two scores are alike, and that all 10! possible rankings are equally likely. Let X denote the highest ranking achieved by a woman (so X = 1 indicates that a woman achieved the highest score on the exam). Find each of the following: P(X= 1) = P(X= 2) = P(X = 3) = P(X = 10) = =

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