SOLUTION: please help me solve this A school dance committee is made up of 2 freshman, 2 sophomores, 2 juniors, and 3 seniors.
How many ways are there to sit the committee in a row at a mee
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-> SOLUTION: please help me solve this A school dance committee is made up of 2 freshman, 2 sophomores, 2 juniors, and 3 seniors.
How many ways are there to sit the committee in a row at a mee
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Question 1069877: please help me solve this A school dance committee is made up of 2 freshman, 2 sophomores, 2 juniors, and 3 seniors.
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? Answer by Edwin McCravy(20055) (Show Source):
I will assume you mean that all freshmen must sit left of all
sophomores and that all sophomores must sit left of all juniors.
[If this is not what you meant then multiply the answer by 3!]
There are 10 chairs in a row.
The seniors sit down wherever they please in 10P3 = 10*9*8 = 720 ways.
There remain 7 seats.
The 2 freshmen then sit down in the leftmost two vacant chairs in 2!=2 ways.
The 2 sophomores then sit down in the leftmost two still vacant chairs in
2!=2 ways. The juniors sit down in the two vacant chairs in 2!=2 ways.
Answer: (720)(2)(2)(2) = 5760 ways
Edwin
