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# Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke

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Director
Joined: 07 Jun 2004
Posts: 609

Kudos [?]: 966 [0], given: 22

Location: PA
Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink]

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28 Nov 2010, 04:54
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Difficulty:

35% (medium)

Question Stats:

74% (01:23) correct 26% (01:50) wrong based on 129 sessions

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Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jackets for her business trip. If an outfit consists of one of each item of clothing except shirts, of which she will wear 2, how many different outfits can does Grace have available during her trip?

(A) 2,520
(B) 1,260
(C) 620
(D) 360
(E) 120
[Reveal] Spoiler: OA

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If the Q jogged your mind do Kudos me : )

Kudos [?]: 966 [0], given: 22

Manager
Joined: 02 Apr 2010
Posts: 102

Kudos [?]: 144 [0], given: 18

Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink]

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28 Nov 2010, 07:54
The idea is to multiply the number of possibilities for each item of clothing with the different items. For the shirts you essentially choose 2 out of 8 so you should use the combination forumla (don't know how to use math symbols here).

This gives you 5 x 3 x 28 x 3 = 1'260. Hence, solution B is correct.

Kudos [?]: 144 [0], given: 18

Manager
Joined: 13 Jul 2010
Posts: 162

Kudos [?]: 97 [0], given: 7

Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink]

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28 Nov 2010, 19:38
5*3*(8!/2!((8-2)!)*3 = 5*3*28*3= 1260

Kudos [?]: 97 [0], given: 7

Manager
Joined: 13 Apr 2015
Posts: 76

Kudos [?]: 23 [0], given: 325

Concentration: General Management, Strategy
GMAT 1: 620 Q47 V28
GPA: 3.25
WE: Project Management (Energy and Utilities)
Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink]

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13 Nov 2015, 08:53
Hey can anyone explain me why 3 pair of pants does not signifies a total of 6 units of pants.

I agree that a pair of socks or shoes can be counted as single unit as they are worn in pair, but how in case of pants, pants can't be worn in pairs in general case.

Will be nice if some one can explain this query...

Kudos [?]: 23 [0], given: 325

Non-Human User
Joined: 09 Sep 2013
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Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink]

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17 Nov 2017, 15:24
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Kudos [?]: 287 [0], given: 0

Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke   [#permalink] 17 Nov 2017, 15:24
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