Find all School-related info fast with the new School-Specific MBA Forum

It is currently 23 Oct 2014, 06:10

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

In how many different ways can the top eight new indie bands

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
avatar
Joined: 18 Mar 2010
Posts: 2
Followers: 0

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

In how many different ways can the top eight new indie bands [#permalink] New post 16 Jun 2010, 10:03
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
In how many different ways can the top eight new indie bands be ranked on a top eight list?

The top hit song for each of the eight bands will compete to receive monetary awards of $1000, $500, $250, and $100; respectively. In how many ways can the awards be given out?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23395
Followers: 3609

Kudos [?]: 28830 [0], given: 2853

Re: Probability [#permalink] New post 16 Jun 2010, 10:21
Expert's post
dlwilson1122 wrote:
In how many different ways can the top eight new indie bands be ranked on a top eight list? the top hit song for each of the eight bands will compete to receive monetary awards of $1000, $500, $250, and $100; respectively. In how many ways can the awards be given out?

would you multiply the prizes to determine how many ways?

this is confusing to me - thanks for any help / explanation

thanks


Welcome to Gmat Club! Below is the solution for your problem

In how many different ways can the top eight new indie bands be ranked on a top eight list?

# of permutations of n distinct objects is n!, so the answer is 8!.

The top hit song for each of the eight bands will compete to receive monetary awards of $1000, $500, $250, and $100; respectively. In how many ways can the awards be given out?

# of ways to choose n objects from k distinct opbjects when order matters is P^n_k=\frac{k!}{(k-n)!}.

So for our original question as there will be 4 awards, then # of ways to choose 4 bands out of 8, when the order matters is P^4_8=5*6*7*8.

For more on this issue please check Combinatorics chapter of Math Book (link in my signature).

Hope it helps.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
Joined: 18 Mar 2010
Posts: 2
Followers: 0

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

Re: Probability [#permalink] New post 16 Jun 2010, 10:25
thanks for explaining
Manager
Manager
avatar
Joined: 16 Apr 2010
Posts: 223
Followers: 3

Kudos [?]: 46 [0], given: 12

Re: Probability [#permalink] New post 16 Jun 2010, 10:26
Using the multiplication principle there will be 8! ways.
i.e for the first place there are 8 possible ways, for the second place only 7 possible ways will remain and so forth till the 8th place there will be 1 way. So in total there will be 8! = 8x7x6x5x4x3x2x1 ways.

For the second part of the question, order matters and hence this is a permutation problem.
There will be 8P4 ways
8P4 = 8!/4! = 8x7x6x4 ways.
Re: Probability   [#permalink] 16 Jun 2010, 10:26
    Similar topics Author Replies Last post
Similar
Topics:
2 Experts publish their posts in the topic In how many different ways can the letters of the word usre123 6 23 Sep 2014, 03:41
How many different ways can total factors question can be ? Aristocrat 0 13 Nov 2012, 20:44
How many different ways can they be seated? Alchemist1320 3 15 Jul 2011, 01:22
1 In how many different ways can the letters of the world xALIx 2 17 Jun 2008, 09:05
In how many different ways can the letters in the word rlevochkin 5 19 Jan 2006, 10:54
Display posts from previous: Sort by

In how many different ways can the top eight new indie bands

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.