Determine the conditional probability, Mathematics

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Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement.

a) If the first person drawn was named the class president, second person drawn was named vice president, and the third person drawn was named secretary how many different results would be possible?

b) If the class of 55 students consisted of 30 women determine the probability that all three students randomly selected were women.

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