Suppose that a team of 10 players is to be selected from a pool of 30 players, of which 16 are men and 14 are women. Count the number of possible teams under each of the following conditions. a. There must be 5 men and 5 women. b. There must be at least one man and at least one woman. c. There must be at least 7 men.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Suppose that a team of 10 players is to be selected from a pool of 30 players, of which 16 are men and 14 are women. Count the number of possible teams under each of the following conditions.

a. There must be 5 men and 5 women.

b. There must be at least one man and at least one woman. 

c. There must be at least 7 men.

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