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2 votes
How many games are played in a 4 team round robin tournament? (Each team

plays every other team only once.)

2 Answers

0 votes

Answer:

6 games.

Explanation:

The answer is the number of combinations of 2 from 4

= 4*3 / 2*1

= 6.

User Evvon
by
5.1k points
6 votes

Answer: 6

Explanation:

If we call each team, A, B, C and D, each team has to play each other team once. Let's call each pairing between 2 teams the 2 teams' letters next to each other, e.g. AB is A playing against B. A has to play against B, C and D so we have AB, AC and AD. So we have 3 so far.

We have already counted that B is playing A but we haven't counted B playing C and D yet so we also have BC and BD. So we have 5 in total

Lastly, C needs to play D, we have already counted C playing B and C playing A so we have CD left. In total that gives 6.

Now we have already included D playing every other team so we don't include any other pairings.

In total, now every team has played every other team giving a total of 6.

(another way of solving this is doing "3!2 but if you haven't learnt factorials yet stick to the first method.

User Troll
by
5.4k points
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