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# Dave has no fashion sense, and will wear any combination of garments

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Intern
Joined: 02 Jun 2011
Posts: 20
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Kudos [?]: 0 [0], given: 5

Dave has no fashion sense, and will wear any combination of garments [#permalink]

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08 Jun 2011, 06:58
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100% (02:50) correct 0% (00:00) wrong based on 5 sessions

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Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 63,000 different outfits, then for how many garments does Dave have exactly five choices?

A. 0
B. 1
C. 2
D. 3
E. 4
[Reveal] Spoiler: OA

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Vijendra Lakshmana Rao,
GMAT score target is 700

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Joined: 24 Mar 2011
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Location: Texas
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Re: Dave has no fashion sense, and will wear any combination of garments [#permalink]

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08 Jun 2011, 07:10
there could be other methods to solve this, but most simplest --
There are 9 different kinds of clothes.

so if you find the prime factors of 63000
i.e. 3 * 3 * 7 * 2 * 2 *2 *5 * 5 *5 * 1

But the guy has everything greater than 1... so ignoring that there are exactly
9 factors.

and 5 is 3 times.

Intern
Joined: 02 Jun 2011
Posts: 20
Followers: 1

Kudos [?]: 0 [0], given: 5

Re: Dave has no fashion sense, and will wear any combination of garments [#permalink]

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08 Jun 2011, 07:34
agdimple333,

Sorry, i didn't understand your solution.
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Regards,
Vijendra Lakshmana Rao,
GMAT score target is 700

Senior Manager
Joined: 24 Mar 2011
Posts: 457
Location: Texas
Followers: 5

Kudos [?]: 132 [0], given: 20

Re: Dave has no fashion sense, and will wear any combination of garments [#permalink]

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08 Jun 2011, 07:57
kichha51 wrote:
agdimple333,

Sorry, i didn't understand your solution.

there could be other methods to solve this, but most simplest --

Q is asking you how many clothes are exactly 5 in #s.

There are 9 different kinds of clothes.
And each of the kind is more than 1.

so if you find the prime factors of 63000
i.e. 3 * 3 * 7 * 2 * 2 *2 *5 * 5 *5 * 1

But the guy has everything greater than 1... so ignoring that, there are
9 factors.
From this 2 kind of garments are 3 each, 1 kind of garment is 7, 3 kind of garments 2 each and 3 kind of garments 5 each.

or you can think that a possibility there are 7 shirt, 2 pants, 2 boxers, 2 jackets, 3 left sock, 3 right sock, 5 left shoe, 5 right shoe and 5 tie. And if you do it backward you have to select one each from the above to form an outfit

so 7C1 * 2C1 * 2C1 * 2C1 * 3C1 * 3C1 * 5C1 * 5C1 * 5C1
and the result is 63,000. which is given as different forms out of outfit that can be formed.

Hope this helps.

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Re: Dave has no fashion sense, and will wear any combination of garments [#permalink]

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10 Jun 2011, 22:22
yes it helps..good explanation
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Re: Dave has no fashion sense, and will wear any combination of garments   [#permalink] 10 Jun 2011, 22:22
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