tiffanyrenee6463 tiffanyrenee6463
  • 10-09-2020
  • Mathematics
contestada

In a badminton tournament each player played one game with all other players. Number of players participated in the tournament if they played 105 games

Respuesta :

ebrightosagie
ebrightosagie ebrightosagie
  • 11-09-2020

Answer: 15 players.

Step-by-step explanation:

number of games played in the tournament = 105 games

nunber of games played by each player against another = 1 game each.

Solution:

Number if player who participated in the tournament.

if each player played a game against every other player, and they were 105 games played at the tournament.

n ( n – 1 ) /n = m

= n ( n – 1 ) 2 = 105

open the bracket

n^2 – n = 210

n^2 – n – 210 = 0

( n – 15 ) ( n + 14 ) = 0

n = 15

15 players Participated In the tournament.

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