A school dance committee is made up of 2 freshman, 4 sophomores, 2 juniors, and 2 seniors.

How many ways are there to sit the committee in a row at a meeting if the students must sit together by grade?

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?

Question

Yoselin Chang

Mathematics

23 August, 13:58

A school dance committee is made up of 2 freshman, 4 sophomores, 2 juniors, and 2 seniors.

How many ways are there to sit the committee in a row at a meeting if the students must sit together by grade?

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?

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Answers (1)

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Aniyah · Answer 1

4 and 6.

Step-by-step explanation:

There are 4 different grades represented, so for the first question, there are 4 ways that the students can sit if they must sit together by grade.

For the second question, there are 3 grades other than senior level, so it starts with 3 ways that the students can be seated. 3 ways x 2 students per way = 6 ways