A baseball team has 5 left-handed and 12 right-handed hitters and 3 switch hitters (either left or right- handed hitters). How many ways are there to choose a team of 9 players (without regard to position) so that there will be at least 3 batters who can hit left-handed and at least 4 who can hit right-handed?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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A baseball team has 5 left-handed and 12 right-handed hitters and 3 switch hitters (either left or right- handed hitters). How many ways are there to choose a team of 9 players (without regard to position) so that there will be at least 3 batters who can hit left-handed and at least 4 who can hit right-handed?

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