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combinatorics (1 Viewer)

scaryshark09

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why do you divide by 2 if the teams are indistinguishable?
ik that means that both teams are equal, but can someone explain the math behind dividing by 2?
 

scaryshark09

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thats the question. you dont really need it, im just talking about in general
 

carrotsss

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Because if you just did 6C3*3C3, you’re getting possibilities where say person 1,2,3 are in team 1 and person 4,5,6 are in team 2 and then another identical possibility for picking 4,5,6 for the first team and then 1,2,3 for the second team, which is the exact same possibility
 

synthesisFR

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Because if you just did 6C3*3C3, you’re getting possibilities where say person 1,2,3 are in team 1 and person 4,5,6 are in team 2 and then another identical possibility for picking 4,5,6 for the first team and then 1,2,3 for the second team, which is the exact same possibility
but u dont do that for case 2 bc ur already setting the 2 diff players into each team so it would always be different?
 

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