in a round robin tennis tournament involving 7 players, each player will play every other player twice. How many total matches will be played in the tournament?
a. 21
b.28
c. 42
d. 48
e. 56
To determine the number of total matches in a round-robin tennis tournament involving 7 players, we need to calculate the number of matches each player will have against other players and then sum them up.
In a round-robin tournament, each player plays against every other player twice. Therefore, the number of matches each player will have against other players is (7 - 1) * 2 = 12.
Since there are 7 players in the tournament, the total number of matches can be calculated by multiplying the number of matches each player has by the number of players, and then dividing by 2 to account for double-counting. Mathematically, it can be represented as (12 * 7) / 2 = 84 / 2 = 42.
So the correct answer is c. 42.