Permutations

Find the number of permutations:

  1. You have a set of 5.  You are going to choose 3.  How many permutations can you get? n=5, r=3, permutations=60
  2. 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
  3. You have a set of 9.  You are going to choose 2.  How many permutations can you get? n=9, r=2, permutations=72
  4. 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
  5. 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
  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? n=8, r=4, permutations=1,680
  7. You are interviewing 7 people for three different jobs.  How many different staffs can you create? n=7, r=3, permutations=210
  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!)? n=6, r=6, permutations=720