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# There are five empty chairs in a row. If six men and four women are wa

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VP
Status: Preparing for the GMAT
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There are five empty chairs in a row. If six men and four women are wa [#permalink]

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14 Jan 2017, 08:13
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Question Stats:

86% (02:05) correct 14% (02:07) wrong based on 69 sessions

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Source: platinum gmat

There are five empty chairs in a row. If six men and four women are waiting to be seated, what is the probability that the seats will be occupied by two men and three women?

A) 4/21
B) 5/21
C) 8/21
D) 9/21
E) 11/21
[Reveal] Spoiler: OA

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Re: There are five empty chairs in a row. If six men and four women are wa [#permalink]

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14 Jan 2017, 08:39
Source: platinum gmat

There are five empty chairs in a row. If six men and four women are waiting to be seated, what is the probability that the seats will be occupied by two men and three women?

A) 4/21
B) 5/21
C) 8/21
D) 9/21
E) 11/21

$$\frac{(6C2 * 4C3)}{10C5} = \frac{5}{21}$$

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Kudos [?]: 1142 [0], given: 327

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Re: There are five empty chairs in a row. If six men and four women are wa [#permalink]

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23 Oct 2017, 18:19
Bunuel

can you please explain why in this case we do not multiply the 6C2 by 2? and 4C3 by 3?

is it not usually the case that if two men are seated together they can be seated either as 1M, 2M, or 2M or 1M?

Kudos [?]: 0 [0], given: 12

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Re: There are five empty chairs in a row. If six men and four women are wa [#permalink]

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24 Oct 2017, 00:40
ILoveNargiza wrote:
Bunuel

can you please explain why in this case we do not multiply the 6C2 by 2? and 4C3 by 3?

is it not usually the case that if two men are seated together they can be seated either as 1M, 2M, or 2M or 1M?

First of all, I think you meant 2! and 3! not 2 and 3.

Next, we are not interested in their arrangements on chairs, we just want the seats to be occupied by two men and three women.
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Kudos [?]: 135256 [0], given: 12679

Re: There are five empty chairs in a row. If six men and four women are wa   [#permalink] 24 Oct 2017, 00:40
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