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

One mole of an ideal gas, with Cv = 20.8 JK-Imol-1 is transformed at constant volume from 0 °C to 75 °C. Calculate q, w, AU, and AH for this process. Note that
Given the function f(x) = x − 5, determine the value of f(f(−1)). A. –8 B. 16 C. 11 D. –4
Describe why the first year of college is the most critical year?
You need 320 mL of a 85% alcohol solution. On hand, you have a 60% alcohol mixture. How much of the 60% alcohol mixture and pure alcohol will you need to obtain
When Beowulf and Grendel fought, Grendel was fearless and was not eager to retreat. True or False​
what is 5 1/3% as a simplified fraction
a steel object of mass 30640kg has a volume of 4m^3. calculate it's density​
The total cost of online streaming is proportional to the number of months. What is the constant of proportionality
whats a better ending to the story "the gift of the Magi"?​
sam buys 3 pounds of apples for $6. what is the unit rate