# Permutations

Find the number of permutations:

- You have a set of 5. You are going to choose 3. How many permutations can you get?
**n=5, r=3, permutations=60** - You have a set of 10. You are going to choose 6. How many permutations can you get?
**n=10, r=6, permutations=151,200** - You have a set of 9. You are going to choose 2. How many permutations can you get?
**n=9, r=2, permutations=72** - You have 8 different colored beads. You want to put 3 beads on a necklace. How many different necklaces can you make?
**n=8, r=3, permutations=336** - You have a dozen crayons of different colors. You are making a tessellation that uses 4 different colors. How many different patterns can you make?
**n=12, r=4, permutations=11,880** - 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?
**n=8, r=4, permutations=1,680** - You are interviewing 7 people for three different jobs. How many different staffs can you create?
**n=7, r=3, permutations=210** - 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!)?
**n=6, r=6, permutations=720**