Teams

How many ways can divide 16 players into two teams of 8 member?

Result

n =  12870

Solution:

n=C8(16)=(168)=16!8!(16−8)!=16⋅15⋅14⋅13⋅12⋅11⋅10⋅98⋅7⋅6⋅5⋅4⋅3⋅2⋅1=12870n=C_{{ 8}}(16) = \dbinom{ 16}{ 8} = \dfrac{ 16! }{ 8!(16-8)!} = \dfrac{ 16 \cdot 15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 } { 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } = 12870

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