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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
Followers: 0

Kudos [?]: 35 [0], given: 11

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

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30 Jan 2013, 23:41
1
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Difficulty:

45% (medium)

Question Stats:

62% (01:54) correct 38% (01:18) wrong based on 93 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
[Reveal] Spoiler: OA

Last edited by Bunuel on 31 Jan 2013, 04:36, edited 2 times in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 35286
Followers: 6641

Kudos [?]: 85663 [1] , given: 10242

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

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31 Jan 2013, 04:38
1
KUDOS
Expert's post
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.

P.S. P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rule #3 (the name of a topic MUST be the first 40 characters (~the first two sentences) of the question).
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Re: 36 identical chairs must be arranged in rows with the same   [#permalink] 31 Jan 2013, 04:38
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# 36 identical chairs must be arranged in rows with the same

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