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Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is 840, then the total numbers of persons, who participated in the tournament, is

Question

Some couples participated in a mixed doubles badminton tournament. If the number of matches played, so that no couple played in a match, is 840, then the total numbers of persons, who participated in the tournament, is

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Solution

The question is asking for the total number of people who participated in a mixed doubles badminton tournament, given that the number of matches played was 840 and no couple played more than once.

In a mixed doubles badminton tournament, each match involves 4 people (2 couples).

If no couple played more than once, then each match involved a unique set of 4 people.

Therefore, to find the total number of people who participated in the tournament, we simply multiply the number of matches by the number of people per match.

So, 840 matches * 4 people per match = 3360 people.

Therefore, the total number of people who participated in the tournament is 3360.

This problem has been solved

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