We have 19 students in a class.
We have to find how many different groups of 5 students can be selected from that class.
This is a combination of n=19 in r=5 and can be calculated as:
[tex]\begin{gathered} C(n,r)=\frac{n!}{(n-r)!r!} \\ C(19,5)=\frac{19!}{14!5!}=11628 \end{gathered}[/tex]
Answer: there are 11628 possible groups.
