The number of all possible ways of distributing $8$ identical apples among $3$ persons is

There are $25$ candidates for $12$ positions,out of which $5$ are from the reserved category. If $3$ positions are reserved and the remaining are open,in how many ways can the selection be made?

What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these do the four cards belong to four different suits?

$A$ man has $10$ friends. In how many ways can he invite one or more of them to a party?

The number of ways of distributing $8$ identical rings to $3$ different girls so that every girl gets at least $1$ ring is

$A$ box contains $2$ white balls,$3$ black balls,and $4$ red balls. In how many ways can $3$ balls be drawn from the box if at least one black ball is to be included in the draw?