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How many unique arrangements can be made of 6 people who

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Director
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How many unique arrangements can be made of 6 people who [#permalink] New post 04 Dec 2003, 17:23
How many unique arrangements can be made of 6 people who have to sit in 6 chairs, while leaving three chairs empty, and three people unseated. The order of the unseated does not matter.
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Re: Another permutation question [#permalink] New post 04 Dec 2003, 19:08
stoolfi wrote:
How many unique arrangements can be made of 6 people who have to sit in 6 chairs, while leaving three chairs empty, and three people unseated. The order of the unseated does not matter.


talk about pushing the envelope... :)

let me think about it
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Re: Another permutation question [#permalink] New post 04 Dec 2003, 20:44
stoolfi wrote:
How many unique arrangements can be made of 6 people who have to sit in 6 chairs, while leaving three chairs empty, and three people unseated. The order of the unseated does not matter.


Two logical way:

1) how many ways can you pick three people out of six? For each of those ways, how many ways can you assign a seat number to each person?

2) how many ways can you pick the three chairs that will be occupied? Given those chairs, how many ways can you fill them with six people?

You should get the same answer both ways....
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 [#permalink] New post 05 Dec 2003, 02:26
6C3*6A3

three persons are taken, as are three ordered places
  [#permalink] 05 Dec 2003, 02:26
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