It is currently 18 Jun 2019, 16:41

### 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

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

# Six students compete in a table tennis tournament. Each stud

Author Message
TAGS:
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 [0], given: 397

Six students compete in a table tennis tournament. Each stud [#permalink]  30 Dec 2017, 14:21
Expert's post
00:00

Question Stats:

85% (00:33) correct 14% (04:28) wrong based on 7 sessions
Six students compete in a table tennis tournament. Each student plays each of the other students four times. What is the total number of games played in the tournament?

Drill 1
Question: 10
Page: 561

[Reveal] Spoiler: OA
60

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 [0], given: 397

Re: Six students compete in a table tennis tournament. Each stud [#permalink]  07 Jan 2018, 18:22
Expert's post
Explanation

When calculating the number of games, order does not matter. There are two students in each game, so two slots: $$\frac{6}{2}\times\frac{5}{1}$$, because order does not matter you will divide by the factoral for 15 combinations. Each student plays 4 games against each of the other students, so 4(15) = 60 games are played.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Manager
Joined: 01 Nov 2018
Posts: 87
Followers: 0

Kudos [?]: 45 [1] , given: 22

Re: Six students compete in a table tennis tournament. Each stud [#permalink]  10 Jan 2019, 23:28
1
KUDOS
Expert's post
Since order matters here, we just plug in 6c4=15

if you dont wanna do NcR, try.

players 1,2,3,4,5,6

player unique games with other players

1--------2,3,4,5,6 ===5 games
2--------3,4,5,6 ===4 games
3--------4,5,6 ===3 games
4 --------5,6 ===2 games
5 --------6 ===1 game

5+4+3+2+1 = 15 unique games
Re: Six students compete in a table tennis tournament. Each stud   [#permalink] 10 Jan 2019, 23:28
Display posts from previous: Sort by