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rxs0005
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Earl and 4 frends goto a game. How many ways can they sit 18 Jul 2005, 15:58
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Earl and 4 frends goto a game. How many ways can they sit together so that earl always sits between two friends.



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nextgen
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Earl and 4 frends goto a game. How many ways can they sit 18 Jul 2005, 19:06
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sparky
4! * 3 = 72
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Either of the 5 can sit on non-corner seats..how are you using the formula ?
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Earl and 4 frends goto a game. How many ways can they sit 18 Jul 2005, 19:39
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sparky
4! * 3 = 72
Either of the 5 can sit on non-corner seats..how are you using the formula ?
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4 people can be arranged in 4! ways and earl can be placed in 3 different places.

so the number of possible sitting or arrangements = 4! 3 = 72 ways.
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Earl and 4 frends goto a game. How many ways can they sit 18 Jul 2005, 20:40
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HIMALAYA
nextgen
sparky
4! * 3 = 72
Either of the 5 can sit on non-corner seats..how are you using the formula ?

4 people can be arranged in 4! ways and earl can be placed in 3 different places.

so the number of possible sitting or arrangements = 4! 3 = 72 ways.
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There are 5 seats (say 1-5), for five friends, lets say A-D & E (Earl)

on seat 1, A-D can sit
on seat 2, A-E can sit
on seat 3, A-E can sit
on seat 4, A-E can sit
on seat 5, A-D can sit

4 x 5 x 5 x 5 x 4

I maybe new here, but whats the problem with this logic..
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Earl and 4 frends goto a game. How many ways can they sit 18 Jul 2005, 20:44
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nextgen
There are 5 seats (say 1-5), for five friends, lets say A-D & E (Earl)
on seat 1, A-D can sit
on seat 2, A-E can sit
on seat 3, A-E can sit
on seat 4, A-E can sit
on seat 5, A-D can sit
4 x 5 x 5 x 5 x 4
I maybe new here, but whats the problem with this logic..
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Earl always sits between two friends means he cannot sit in the first and last. so, these are the arrangements for Earl to be in between of two friends:

A E B C D. this way Earl can sit in 24 ways.
A B E C D. this way Earl can sit in 24 ways.
A B C E D. this way Earl can sit in 24 ways.
so altogather 72 ways.
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Earl and 4 frends goto a game. How many ways can they sit 18 Jul 2005, 20:53
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HIMALAYA
nextgen
There are 5 seats (say 1-5), for five friends, lets say A-D & E (Earl)
on seat 1, A-D can sit
on seat 2, A-E can sit
on seat 3, A-E can sit
on seat 4, A-E can sit
on seat 5, A-D can sit
4 x 5 x 5 x 5 x 4
I maybe new here, but whats the problem with this logic..

Earl always sits between two friends means he cannot sit in the first and last. so, these are the arrangements for Earl to be in between of two friends:

A E B C D. this way Earl can sit in 24 ways.
A B E C D. this way Earl can sit in 24 ways.
A B C E D. this way Earl can sit in 24 ways.
so altogather 72 ways.
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That looks right. Thanks.
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Earl and 4 frends goto a game. How many ways can they sit 18 Jul 2005, 21:11
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nextgen
HIMALAYA
nextgen
There are 5 seats (say 1-5), for five friends, lets say A-D & E (Earl)
on seat 1, A-D can sit
on seat 2, A-E can sit
on seat 3, A-E can sit
on seat 4, A-E can sit
on seat 5, A-D can sit
4 x 5 x 5 x 5 x 4
I maybe new here, but whats the problem with this logic..

Earl always sits between two friends means he cannot sit in the first and last. so, these are the arrangements for Earl to be in between of two friends:

A E B C D. this way Earl can sit in 24 ways.
A B E C D. this way Earl can sit in 24 ways.
A B C E D. this way Earl can sit in 24 ways.
so altogather 72 ways.


That looks right. Thanks.
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And I realize what was wrong with my logic...it assumed that multiple "copies" of A-E are available..
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Earl and 4 frends goto a game. How many ways can they sit 19 Jul 2005, 15:23
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all thanks 72 is the correct answer



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!