Answer each PERMUTATIONS COMPLETELY. SHOW YOUR SOLUTION.
1. In how many ways can 8 different-colored goats be positioned in a carousel?
2. A doctor wants to assign 5 different tasks to his 5 nurses. In how many possible ways can he do it?
3. In how many ways can 5 cars be parked if there are 9 available parking spaces?
4. In how many different ways can 11 people occupy the 11 seats in a back row of a mini-theatre?
5. In how many ways can you place 9 different books on a shelf if there is space enough for only 4 books?
6. Twelve runners join a racing competition. In how many ways can they be arranged as first, second, and third placers?

Note: If your answers are complete and correct I'll follow you. ​