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# 36 identical chairs must be arranged in rows with the same

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Intern
Joined: 25 Jan 2013
Posts: 24
36 identical chairs must be arranged in rows with the same  [#permalink]

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Updated on: 31 Jan 2013, 04:36
1
5
00:00

Difficulty:

55% (hard)

Question Stats:

56% (01:34) correct 44% (01:55) wrong based on 160 sessions

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36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible?

A. 2
B. 4
C. 5
D. 6
E. 10

Originally posted by antoxavier on 30 Jan 2013, 23:41.
Last edited by Bunuel on 31 Jan 2013, 04:36, edited 2 times in total.
Renamed the topic and edited the question.
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Joined: 02 Sep 2009
Posts: 55804
Re: 36 identical chairs must be arranged in rows with the same  [#permalink]

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31 Jan 2013, 04:38
1
3
antoxavier wrote:
36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least three chairs and there must be at least three rows. A row is parallel to the front of the room. How many different arrangements are possible?

A. 2
B. 4
C. 5
D. 6
E. 10

We should have at least 3 rows and at least 3 chairs in a row:

# OF ROWS --- # OF CHAIRS IN A ROW
3 --------------------------------- 12
4 ---------------------------------- 9
6 ---------------------------------- 6
9 ---------------------------------- 4
12 -------------------------------- 3

Total of 5 ways.

Hope it's clear.

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Re: 36 identical chairs must be arranged in rows with the same  [#permalink]

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29 Dec 2018, 08:24
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: 36 identical chairs must be arranged in rows with the same   [#permalink] 29 Dec 2018, 08:24
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