Can someone help figure out how to solve this equation? Thank you!

There 20 people competing in a contest if first place earns $100, second place earns $50 and third place earns $25, How many ways can the three winners be selected?

Question

23-09-2017
Mathematics

contestada

Can someone help figure out how to solve this equation? Thank you!

There 20 people competing in a contest if first place earns $100, second place earns $50 and third place earns $25, How many ways can the three winners be selected?

Respuesta :

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merlynthewhizz merlynthewhizz · Answer 1 · 2017-10-01T22:49:45+02:00

We will use the binomial coefficient formula to work out the answer

The formula is given by:
[tex]^nC_r= \left(\begin{array}{ccc}n\\r\end{array}\right)= \frac{n!}{(n-r)!r!} [/tex]
Where:
'n' is the total population or sample population
'r' is the number of pick

We have:
n = 20
r = 3
Substitute these values into the formula we have
[tex]^{20}C_3= \frac{20!}{(20-3)!3!}=1140 [/tex]

Answer:
There are 1140 different ways of picking three winners out of 20 people

Can someone help figure out how to solve this equation? Thank you! There 20 people competing in a contest if first place earns $100, second place earns $50 and third place earns $25, How many ways can the three winners be selected?

Respuesta :

Otras preguntas

Can someone help figure out how to solve this equation? Thank you!

There 20 people competing in a contest if first place earns $100, second place earns $50 and third place earns $25, How many ways can the three winners be selected?