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

Expert's post

00:00

Question Stats:

80% (00:30) correct
20% (04:28) wrong based on 5 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?

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. _________________

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