NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 07:18 It is currently 26 Apr 2024, 07:18
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92933
Own Kudos [?]: 619173 [5]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink] New post   21 Jun 2019, 00:16
5
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

67% (01:54) correct 33% (02:20) wrong based on 61 sessions
Hide Show timer Statistics
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
ShowHide Answer
Official Answer
B
User avatar
P
Lampard42
Senior Manager
Senior Manager
Joined: 22 Nov 2018
Posts: 446
Own Kudos [?]: 492 [3]
Given Kudos: 292
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 740 Q49 V41
Send PM
GMAT ToolKit User
Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink] New post   21 Jun 2019, 00:24
3
Kudos
Bunuel wrote:
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


She has 5 options for shoes* 3 Options for pants*3 Options for Jackets*8C2 options for Shirts = 1260 IMO B
User avatar
L
CareerGeek
VP
VP
Joined: 20 Jul 2017
Posts: 1300
Own Kudos [?]: 3451 [2]
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Send PM
Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink] New post   21 Jun 2019, 00:38
2
Kudos
Bunuel wrote:
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


Total number of ways = Selecting 1 pair of shoes, 1 pair of pants, 2 shirts, and 1 jacket
= 5\(c_1\)*3\(c_1\)*8\(c_2\)*3\(c_1\)
= 5*3*28*3
= 1260

IMO Option B

Pls Hit Kudos if you like the solution
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8020
Own Kudos [?]: 4098 [2]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink] New post   21 Jun 2019, 11:09
2
Kudos
Bunuel wrote:
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


total combination possible
5*3*8c2*3 ; 1260
IMO B
GMAT Club Bot
gmatclubot
Re: Grace packed 5 pairs of shoes, 3 pairs of pants, 8 shirts, and 3 jacke [#permalink]
21 Jun 2019, 11:09
Moderators:
Bunuel
Math Expert
92933 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions