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# ps chairs arrangement

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Intern
Joined: 07 Sep 2008
Posts: 25
ps chairs arrangement  [#permalink]

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10 Oct 2008, 13:42
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in an auditorium, 360 chairs are to be set up in a rectangular arrangment with x rows of exactly y chairs each. if the only other restriction is that 10 <x<25, how many different rectangular arrangements are possible?

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Manager
Joined: 27 Sep 2008
Posts: 75
Re: ps chairs arrangement  [#permalink]

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10 Oct 2008, 15:50
1
in an auditorium, 360 chairs are to be set up in a rectangular arrangment with x rows of exactly y chairs each. if the only other restriction is that 10 <x<25, how many different rectangular arrangements are possible?

360 = 3*2*2*3*2*5

x*y = 360

10 < x < 25

x can be {18,20,12,15,24}

Intern
Joined: 07 Sep 2008
Posts: 25
Re: ps chairs arrangement  [#permalink]

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11 Oct 2008, 01:04
Thank you Greenberg.
I've noticed you've done prime factorisation but then how did you select the numbers for x i.e. 12, 15, 18, etc..

Thanks,
A
Manager
Joined: 27 Sep 2008
Posts: 75
Re: ps chairs arrangement  [#permalink]

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11 Oct 2008, 01:30
1
andreasonlinegr wrote:
Thank you Greenberg.
I've noticed you've done prime factorisation but then how did you select the numbers for x i.e. 12, 15, 18, etc..

Thanks,
A

360 = 3*2*2*3*2*5

2*2 = 4
2*3 = 6
2*2*2 = 8
2*5 = 10
2*2*3 = 12

...

good old leg work

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Posts: 10166
Re: ps chairs arrangement  [#permalink]

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18 Dec 2017, 12:33
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Re: ps chairs arrangement   [#permalink] 18 Dec 2017, 12:33
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# ps chairs arrangement

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