A university has $5$5 flagpoles and $8$8 different flags. In how many ways can the flags be arranged on the $5$5 flagpoles? (Only $1$1 flag per flagpole and order of flagpoles does matter.)
A board of directors wants to elect a president, secretary and treasurer from its $10$10 members. In how many ways can the election turn out if each member has an equal chance of being elected to a position and each member can only fill one position?
If there are $26$26 entrants in a particular poker tournament and only the top $3$3 get paid, how many different orderings of the paid places are possible?
Use permutations and combinations