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ps chairs arrangement

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ps chairs arrangement [#permalink]

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New post 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?

answer: five

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Re: ps chairs arrangement [#permalink]

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New post 10 Oct 2008, 15:50
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}

:)

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Re: ps chairs arrangement [#permalink]

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New post 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

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Re: ps chairs arrangement [#permalink]

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New post 11 Oct 2008, 01:30
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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Re: ps chairs arrangement   [#permalink] 11 Oct 2008, 01:30
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