Three persons are selected from a group of 3 women and 4 men. How many ways of selection are there such that among the persons selected: (a) there were only women b) there were only men c) there were two women and one man?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3.86. Three persons are selected from a group of 3 women and 4 men. How many ways of selection are there such that among the persons selected:
(a) there were only women
b) there were only men
c) there were two women and one man?

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