garcikyl000
19.03.2020 •
Mathematics
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?
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Ответ:
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
Ответ: