There are 5 third year and 4 fourth year ECE students qualified to join a contest. In the group category, a team 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?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 36RE: In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president,...
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There are 5 third year and 4 fourth year ECE 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?
Transcribed Image Text:There are 5 third year and 4 fourth year ECE 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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