The total number of wrestlers are 6 and each have to wrestle each other wrestler only once.
It means, the first wrestler have 5 opponent, second have 4 opponents , third have three oponenets , fourth have two opponents and the fifth have only one opponent.
So the total number of matches = 5+4+3+2+1 =15
The total number of matches in the competition is 15
We are told that each wrestler competes in one match. And there are 6 wrestlers. Each wrestler then has 5 matches.
This means that there are 6 × 5 = 30 matches.
Worthy of remembrance is that each wrestler competes just once, not twice. For 30 matches, each wrestler must have competed twice. So, to get a one time match up, we divide by 2. And thus, 30/2 = 15 matches.
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