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

It is currently 19 Oct 2019, 04:16

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

In how many different ways can a soccer team finish the season with

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

Hide Tags

Find Similar Topics 
Manager
Manager
avatar
P
Joined: 17 May 2017
Posts: 119
Schools: ESSEC '20
GPA: 3
Reviews Badge
In how many different ways can a soccer team finish the season with  [#permalink]

Show Tags

New post Updated on: 13 Jun 2017, 05:43
5
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

74% (01:08) correct 26% (01:14) wrong based on 166 sessions

HideShow timer Statistics

In how many different ways can a soccer team finish the season with three wins, two losses, and one draw?

(A) 6
(B) 20
(C) 60
(D) 120
(E) 240

Originally posted by haardiksharma on 13 Jun 2017, 04:58.
Last edited by Bunuel on 13 Jun 2017, 05:43, edited 2 times in total.
Renamed the topic, edited the question and moved to PS forum.
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3335
Location: India
GPA: 3.12
In how many different ways can a soccer team finish the season with  [#permalink]

Show Tags

New post 13 Jun 2017, 05:07
2
Let's call a win(W), a loss(L) and a draw(D)

The ways in which the team can finish the season with 3W,2L and 1D is \(\frac{{6!}}{{2!*3!}}\) as every win or loss is alike.

Now, \(\frac{{6!}}{{2!*3!}}\) = \(\frac{{6*5*4*3!}}{{2!*3!}}\) = \(\frac{{6*5*4}}{{2}}\) = 60(Option C)
_________________
You've got what it takes, but it will take everything you've got
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58449
Re: In how many different ways can a soccer team finish the season with  [#permalink]

Show Tags

New post 13 Jun 2017, 05:40
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4009
Location: Canada
Re: In how many different ways can a soccer team finish the season with  [#permalink]

Show Tags

New post 13 Jun 2017, 06:43
3
Top Contributor
haardiksharma wrote:
In how many different ways can a soccer team finish the season with three wins, two losses, and one draw?

(A) 6
(B) 20
(C) 60
(D) 120
(E) 240


Question rephrased: In how many different ways can we arrange the letters WWWLLD

-------------ASIDE--------------------------------------
When we want to arrange a group of items in which some of the items are identical, we can use something called the MISSISSIPPI rule. It goes like this:

If there are n objects where A of them are alike, another B of them are alike, another C of them are alike, and so on, then the total number of possible arrangements = n!/[(A!)(B!)(C!)....]

So, for example, we can calculate the number of arrangements of the letters in MISSISSIPPI as follows:
There are 11 letters in TOTAL
There are 4 identical I's
There are 4 identical S's
There are 2 identical P's
So, the total number of possible arrangements = 11!/[(4!)(4!)(2!)]

-------------NOW ONTO THE QUESTION!!--------------------------------------

WWWLLD
There are 6 letters in TOTAL
There are 3 identical W's
There are 2 identical L's
So, the total number of possible arrangements = 6!/[(3!)(2!)
= 60

Answer:

RELATED VIDEO

_________________
Test confidently with gmatprepnow.com
Image
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8109
Location: United States (CA)
Re: In how many different ways can a soccer team finish the season with  [#permalink]

Show Tags

New post 15 Jun 2017, 16:10
1
haardiksharma wrote:
In how many different ways can a soccer team finish the season with three wins, two losses, and one draw?

(A) 6
(B) 20
(C) 60
(D) 120
(E) 240


We will use the permutation with indistinguishable items formula. Since there are 3 + 2 + 1 = 6 outcomes and the 3 wins and 2 losses cannot be distinguished, the total number of ways is given by 6!/(3!2!) = (6 x 5 x 4 x 3 x 2)/(3 x 2 x 2) = 5 x 4 x 3 = 60.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 13271
Re: In how many different ways can a soccer team finish the season with  [#permalink]

Show Tags

New post 07 Dec 2018, 13:00
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Bot
Re: In how many different ways can a soccer team finish the season with   [#permalink] 07 Dec 2018, 13:00
Display posts from previous: Sort by

In how many different ways can a soccer team finish the season with

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





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