Answer
The classes can be chosen in 203,490 ways
Step-by-step explanation
The number of combinations of n things chosen r at a time is found using the next formula:
[tex]nCr=\frac{n!}{r!(n-r)!}[/tex]In this case, we have to choose r = 8 junior high classes from a total of n = 21 classes. Substituting these values into the formula, we get:
[tex]\begin{gathered} _{21}C_8=\frac{21!}{8!(21-8)!} \\ _{21}C_8=203,490 \end{gathered}[/tex]