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36 identical chairs must be arranged in rows with the same

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

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New post Updated on: 31 Jan 2013, 04:36
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C
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E

Difficulty:

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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
Spoiler: OA

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

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New post 31 Jan 2013, 04:38
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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.

Answer: C.


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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New post 29 Dec 2018, 08:24
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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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