There are 5 third year and 4 fourth year students qualified to join a contest. In the group category, a team of four has to be chosen.  a.) How many different teams can be chosen if there must be exactly one third year student on the team? b.)How many different teams can be chosen if there must be exactly two third year students on the team? c.) How many different teams can be chosen if there must be either exactly one third year student or exactly two third year students  on the team?

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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There are 5 third year and 4 fourth year students qualified to join a contest. In the group category, a team of four has to be chosen. 

a.) How many different teams can be chosen if there must be exactly one third year student on the team?

b.)How many different teams can be chosen if there must be exactly two third year students on the team?

c.) How many different teams can be chosen if there must be either exactly one third year student or exactly two third year students  on the team?

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