Permutations

Find the number of permuations:

1. You have a set of 5.  You are going to choose 3.  How many permuations can you get?
2. You have a set of 10.  You are going to choose 6.  How many permuations can you get?
3. You have a set of 9.  You are going to choose 2.  How many permuations can you get?
4. You have 8 different colored beads. You want to put 3 beads on a necklace.  How many different necklaces can you make?
5. You have a dozen crayons of different colors. You are making a tesselation that uses 4 different colors.  How many different patterns can you make?
6. You have 8 drawings.  You have 4 frames.  You are going to choose 3 pictures, put them in frames, and put them in different rooms in your house.  How many different painting arrangements can you have?
7. You are interviewing 7 people for three different jobs.  How many differents staffs can you create?
8. You have a set of letter 6 tiles.  How many different 6 letter words can you make (if you don't care if the letters you put together actually make an English word!)?