Permutations and Combinations

Math 30-1: counting arrangements and selections.

8 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. How many ways can you arrange 4 different books on a shelf? (4!)
  2. How many ways can you choose 2 people from a group of 5, where order doesn't matter? (5 choose 2)
  3. When the order of selection matters, you use a:
  4. How many ways can 3 people be arranged in a line? (3!)
  5. How many ways can 5 people be arranged in a line? (5!)
  6. How many ways can you choose 3 students from a group of 6, where order does NOT matter? (6 choose 3)
  7. In how many ordered ways can 2 photos be chosen from 4 and displayed on a wall? (P(4, 2))
  8. There are 5 candidates for first place and 4 remaining for second place (order matters). The total number of arrangements is:

Answer these free