Eight students at graduation are in line to take their seats. How many ways can they be seated in a row
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Eight students at graduation are in line to take their seats. How many ways can they be seated in a row

[From: ] [author: ] [Date: 11-12-11] [Hit: ]
320 but I dont know how to get that number. Help?-OK. It is in fact 8 factorial, denoted by 8!.......
The answer is 40,320 but I don't know how to get that number. Help?

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OK. It is in fact 8 factorial, denoted by 8!.
This is because there is no restriction based on who will sit down in the first chair. That is, any of the 8 students can sit down in the first one.
But in the second chair, only 1 out of the remaining possible 7 can sit down because one is already seated in the first chair. They never said that any of our students were obnoxious and would possibly take up two chairs, so we are forced to assume that each student will only sit in one chair.
In the third chair, only 6 students can possibly be seated, since two are seated in teh first two chairs.
and so on, so you have
8*7*6*5*4*3*2*1 = 40320. Hope this helps.

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8! is the answer..
The first person can sit in 8 places, the second person can sit in 7 places,..,the 7th person can sit in 2 ways,the 8th person can sit in only 1 way. So,8*7*6*5*4*3*2*1

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8! = ...
1
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