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?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
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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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