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A group of $1$ representitives is to be chosen from $2$
students (consisting of $3$ from class $A$, $4$ from class $B$ and
$5$ from class $C$).
Find the total number of ways to choose this group of representatives if
- there are no restrictions,
- there is 1 student from class $A$, $7$ from class $B$
and $8$ from class $C$,
- there are no students from class $C$,
- there are $9$ from class $A$.