Question

В шахматном турнире принимали участие 10 человек. Каждый участник сыграл со всеми шахматистами по одной паре. Сколько было сыграно партий?

Answer 1

100 партий вроде столько

Answer 2

Calculation of the Number of Games in a Chess Tournament

To calculate the number of games played in a chess tournament where 10 participants play against each other once, we can use a combination formula.

The number of games played in a round-robin tournament can be calculated using the formula:

Number of games = (n * (n - 1)) / 2

Where: - n is the number of participants

In this case, there are 10 participants, so we can substitute n = 10 into the formula:

Number of games = (10 * (10 - 1)) / 2 = 45

Therefore, in a chess tournament with 10 participants, each playing against every other participant once, a total of 45 games would be played.