Answer:
3,768,688 different ways
Explanation:
The number of ways to select x elements from a group of n elements is calculated as
[tex]\text{nCx}=\frac{n!}{x!(n-x)!}[/tex]In this case, we want to select 6 parents from a group of 24 and select 2 teachers from the 8 teachers, so
[tex]\begin{gathered} 24C6=\frac{24!}{6!(24-6)!}=134596 \\ 8C2=\frac{8!}{2!(8-2)!}=28 \end{gathered}[/tex]Therefore, the groups can be made in 3,768,688 different ways because
24C6 x 8C2 = 134,596 x 28 = 3,768,688
