4 men and 6 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:
$P(X = 1) =$
$P(X = 3) =$
$P(X = 4) =$
$P(X = 8) =$