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A diificult math, pls explain

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Manager
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Status: Single
Joined: 05 Jun 2011
Posts: 124
Location: Shanghai China
A diificult math, pls explain [#permalink]

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New post 24 Jul 2011, 04:00
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Difficulty:

  25% (medium)

Question Stats:

80% (01:27) correct 20% (00:20) wrong based on 10 sessions

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In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6 seats if the boys are to have the first, third and fifith seats

a)6
b)9
c)12
d)36
e)720

pls explain~
[Reveal] Spoiler: OA
Current Student
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Joined: 26 May 2005
Posts: 563
Re: A diificult math, pls explain [#permalink]

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New post 24 Jul 2011, 04:32
tracyyahoo wrote:
In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6 seats if the boys are to have the first, third and fifith seats

a)6
b)9
c)12
d)36
e)720

pls explain~


use the slot method _ _ _ _ _ _
boy in first place = 3 ways
in the 3rd place = 2 ways
5th place = 1 way
total 3*2*1 = 6 ways

similarly for girls
total 6*6 = 36 ways
Intern
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Joined: 17 May 2009
Posts: 31
Location: United States
GMAT 1: 770 Q51 V44
GPA: 3.62
WE: Corporate Finance (Manufacturing)
Re: A diificult math, pls explain [#permalink]

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New post 24 Jul 2011, 16:31
Note that this is the same as asking "how many ways can 3 boys and 3 girls be arranged such that the boys sit in the first three chairs?"

The ways to arrange 3 boys: \(3! = 6\)
The ways to arrange 3 girls: \(3! = 6\)

Combined, \(3! * 3! = 6 * 6 = 36\)
Re: A diificult math, pls explain   [#permalink] 24 Jul 2011, 16:31
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A diificult math, pls explain

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