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At the first meeting of the Tennis Club, the 7 members decided to have a tournament in which every player will play a match against every other player. How many matches will there be in the tournament?

Respuesta :

Answer:

21 matches

Step-by-step explanation:

This is a combination problem where we have to select two member out of 7 members

 

So we want calculation of  7C2

 

   7C2 = 7!/[(2!)(7-2)!]

   (7*6*5*4*3*2*1)/[(2*1) *(5*4*3*2*1]

   (7*6)/2    ~  Note everything that easily cancels here!

   42/2

   21 matches

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