GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 26 Sep 2018, 03:58

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.

Close

Request Expert Reply

Confirm Cancel

From her collection of 9 different hats, Ellen wants to wear one diffe

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49496
From her collection of 9 different hats, Ellen wants to wear one diffe  [#permalink]

Show Tags

New post 13 Apr 2018, 02:50
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:11) correct 17% (01:49) wrong based on 84 sessions

HideShow timer Statistics

From her collection of 9 different hats, Ellen wants to wear one different hat to school each day during a four-day week. How many different sequences of hats could she wear?

A. 9
B. 54
C. 1068
D. 2126
E. 3024

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
User avatar
B
Joined: 04 Apr 2018
Posts: 21
GMAT ToolKit User
Re: From her collection of 9 different hats, Ellen wants to wear one diffe  [#permalink]

Show Tags

New post 13 Apr 2018, 04:37
1
Ellen has 9 choices to wear on 1st day but only 8 on 2nd day, 7 choices on 3rd day & 6 choices on 4th day.
Hence the no. of ways = 9*8*7*6 = 3024, option E. 3024
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3527
Location: United States (CA)
Re: From her collection of 9 different hats, Ellen wants to wear one diffe  [#permalink]

Show Tags

New post 16 Apr 2018, 17:11
Bunuel wrote:
From her collection of 9 different hats, Ellen wants to wear one different hat to school each day during a four-day week. How many different sequences of hats could she wear?

A. 9
B. 54
C. 1068
D. 2126
E. 3024


On the first day, Ellen can choose from any of the 9 hats; on the second day, she can choose any hat except the one she wore on the previous day, so she can choose from 8 hats. Similarly, on day 3, she can choose from any of the 7 remaining hats, and on day 4 she can choose from 6 hats.

Thus, Ellen can wear 9 x 8 x 7 x 6 = 3,024 different combinations of her hats.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Director
Director
avatar
P
Joined: 02 Oct 2017
Posts: 616
Re: From her collection of 9 different hats, Ellen wants to wear one diffe  [#permalink]

Show Tags

New post 28 Apr 2018, 10:11
Same hat will not repeat so
9*8*7*6=3024

Posted from my mobile device
Intern
Intern
avatar
S
Joined: 01 Jun 2015
Posts: 42
Location: India
Reviews Badge
Re: From her collection of 9 different hats, Ellen wants to wear one diffe  [#permalink]

Show Tags

New post 28 Apr 2018, 11:30
9 hats available. 4 days different hat required.

So 1st day we can any one from 9, 2nd day any one from 8 , 3rd day any one from 7 and 4th day any one from 6

9*8*7*6
GMAT Club Bot
Re: From her collection of 9 different hats, Ellen wants to wear one diffe &nbs [#permalink] 28 Apr 2018, 11:30
Display posts from previous: Sort by

From her collection of 9 different hats, Ellen wants to wear one diffe

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.