SOLUTION: At a certain high school, the Prom Committee is going to choose new members. There are 7 students from the Junior class and 6 students from the Senior class who are willing to be n
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Question 1185849: At a certain high school, the Prom Committee is going to choose new members. There are 7 students from the Junior class and 6 students from the Senior class who are willing to be new members. In how many ways can 4 new members be chosen if 2 or fewer must be from the Senior class? Answer by ikleyn(52778) (Show Source):
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At a certain high school, the Prom Committee is going to choose new members.
There are 7 students from the Junior class and 6 students from the Senior class who are willing to be new members.
In how many ways can 4 new members be chosen if 2 or fewer must be from the Senior class?
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The solution to the problem is
N(2 students from the SR class) + N(1 student from the SR class) + N(0 students from the SR class) =
= + + = 15*21 + 6*35 + 1*35 = 560.
ANSWER. In 560 different ways.
Solved.
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This problem is to use COMBINATIONS and the Fundamental Counting Principle.
