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

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1622 [0], given: 385

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

Question Stats:

100% (00:15) correct 0% (00:00) wrong based on 2 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

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1622 [0], given: 385

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