BridgitV254290 BridgitV254290
  • 03-11-2022
  • Mathematics
contestada

How many ways can a coach choose the 3 starting players from a volleyball team of 7

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MadeleneV121072 MadeleneV121072
  • 03-11-2022

This is combination

number of ways of choosing 3 players from 7 players

[tex]=^nC_r^{}[/tex]

n = 7 and r = 3

[tex]=^nC_r\text{ = }\frac{n!}{(n-r)!r!}[/tex][tex]\begin{gathered} =\text{ }\frac{7!}{(7-3)!3!} \\ =\text{ }\frac{7!}{4!3!} \end{gathered}[/tex][tex]\begin{gathered} =\text{ }\frac{7X6X5X4X3X2X1}{4X3X2X1X3X2X1} \\ =\text{ }\frac{5040}{144} \end{gathered}[/tex]

= 35 ways

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