BridgitV254290 BridgitV254290
  • 03-11-2022
  • Mathematics
contestada

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

Respuesta :

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

Answer Link

Otras preguntas

'This life is more important than the next' - Discuss statement Include Christian views - Catholic and Church of England
why did some chiefs decide to fight when english colonists moved into their territory?plz help me
what does the surface area represent in a cell
How do you calculate the initial speed given time and displacement? The question is: The longest kick in CFL history was 83.2m. If the ball remained in the air
why does methane have a low boiling pint?
why did some chiefs decide to fight when english colonists moved into their territory?plz help me
How do I write 4.76325 as a fraction?
why are quebec and ontario known as canadas economic heart
11 times 4 and 1 3rds
how can temperature can affect communication?