Q: How many matches will be played in a knockout tournament between 9 teams get the general formula for n teams?

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No, the word 'tournament' is a common noun, a general word for any tournament of any kind. A proper noun is the name of a specific person, place, or thing. A proper noun for 'tournament' is the name of a specific tournament, for example The Tournament of Roses (the Rose Parade and Rose Bowl Game), Pasadena California or the WTA Tournament of Champions (the Women's Tennis Association competition), Sofia Bulgaria.

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