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A school dance committee is made up of 3 freshmen, 6 sophomores, 3 juniors, and 2 seniors.
(a) How many ways are there to sit the committee in a row at a meeting if the students must sit together by grade?
(b) How many ways are there to sit the committee in a row at a meeting if the freshman, sophomores, and juniors must sit by grade, but the seniors can sit wherever they want?

 Mar 3, 2020
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A) Consider that each grade is one unit so 

4! = 24 ways

B) Consider freshman, sophomores, and juniors as one unit, but keep don't consider the seniors seperate

then it would be 5! = 120

 

A) 24 ways

B) 120 ways

 Mar 3, 2020

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