Question

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

Answer 1

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

The formula is given by:
$^nC_r= \left(\begin{array}{ccc}n\\r\end{array}\right)= \frac{n!}{(n-r)!r!}$
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
$^{20}C_3= \frac{20!}{(20-3)!3!}=1140$

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