amaniiiiiiii amaniiiiiiii
  • 06-07-2020
  • Mathematics
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12 teams play in a competition.
Each team plays each other team exactly once.
(b) Work out the total number of games played.

Respuesta :

PiaDeveau PiaDeveau
  • 11-07-2020

Answer:

Total number of games = 66

Step-by-step explanation:

Given:

Total number of teams = 12

Each team plays each other team exactly once.

Find:

Total number of games.

Computation:

We can say that, it is a combination problem

So,

Total number = 12

1 match = 2 team

Total number of games = ¹²C₂

Total number of games = 12! / (2! × 10!)

Total number of games = 66

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