BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

combinations

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 93
Joined: Tue Mar 18, 2008 9:28 am
Thanked: 2 times
by CITI29 » Thu Jul 10, 2008 8:03 am
LEAGUE RESULTS
Team -Number of Games Won
A -4
B -7
C -9
D -2
E -2
X -?

According to the incomplete table above, if each of
the 6 teams in the league played each of the other
teams exactly twice and there were no ties, how
many games did team X win? (Only 2 teams play in
a game.)
(A) 4
(B) 5
(C) 6
(D) 8
(E) 10

pls advise?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Junior | Next Rank: 30 Posts
Posts: 18
Joined: Sat Mar 15, 2008 10:54 pm

by spanlength » Thu Jul 10, 2008 8:09 am
Since there were 30 matches in total ,hence total no. of win must be 30.
Since the 5 teams hav won 24 matches hence X team must have won 6 times.
My Ans is C)6

Plz give OA.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 93
Joined: Tue Mar 18, 2008 9:28 am
Thanked: 2 times

by CITI29 » Thu Jul 10, 2008 8:41 am
hi ,

thats the correct answer. But how do u know 30 total games?..its said that each team played with each other team exactly twice. So how did u reach 30?

pls explain
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 75
Joined: Sun Jun 22, 2008 4:59 am
Thanked: 2 times

by dbart06 » Thu Jul 10, 2008 8:55 am
6 teams, each plays a total of 10 games = 60 total games.

you have to remember that some games are duplicated

ie. ab,ac, ad, ae, ax.......ba, bc,bd,be,bx .. because of the duplication you divide the total number of games 60 by 2, this gives 30 diferent games total.


hope it helps
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 95
Joined: Sun Jul 06, 2008 6:41 am
Location: INDIA
Thanked: 2 times

by preetha_85 » Thu Jul 10, 2008 10:10 am
Hi .

To find the total no. of games since they r 6 teams nd 2 teams play with each other take it as 6C2. This gives 15.since they play each other twice multiply this by 2 i.e 15*2=30.. nd hence 30 games in all
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 52
Joined: Tue Jul 01, 2008 10:50 am

Permutation

by evansbd » Thu Jul 17, 2008 7:29 am
Why cant you use the permutation equation instead of combination muliplied by two or counting outcomes then dividing by two?

Permutation = 6!/(6-2)! = 30
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 91
Joined: Sun Jul 13, 2008 10:36 pm
Thanked: 1 times
GMAT Score:770

Re: Permutation

by BlueRain » Thu Jul 17, 2008 4:24 pm
evansbd wrote:Why cant you use the permutation equation instead of combination muliplied by two or counting outcomes then dividing by two?

Permutation = 6!/(6-2)! = 30
Because it is awkward to explain it that way? It's just saying why can't you just multiple by 10 and then divide by 2*5... :?

The difference between 6C2 and 6P2 is just 2, so you end up dividing 2 anyway. The point is the order does not matter when picking teams to play in a game, so combination makes more sense.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1