Name__________________ Date_______ Period_____

 

Probability — Counting and Permutations Practice

 

 

  1. If there are four choices of bread and five choices of meats, how many different kinds of sandwich can you make?
  2. If you have three pairs of shorts and six different shirts, how many possible outfits could you have?
  3. There are five roads between Pleasanton and Dublin, and three roads from Dublin into San Ramon. How many ways are there to get from Pleasanton to San Ramon?
  4. How many different roundtrips (Pleasanton to San Ramon and back) if you take different routes on the return trip?
  5. How many ways can you arrange seven books on a bookshelf?
  6. How many different batting orders are possible for a nine-person baseball team?
  7. How many ways could a president and vice president be elected from your classroom today?
  8. How many three-letter arrangements can be made from the word ‘crystal’?
  9. How many two-letter arrangements can be made from the word ‘country’?
  10. How many ways can you arrange the letters in ‘lock’?
  11. How many ways can you arrange the letters in ‘look’?
  12. How many ways can you arrange the letters in ‘sassy’?
  13. How many ways can you arrange the letters in ‘harvesting’ if the first letter must be a consonant and the last letter must be a vowel?
  14. Find a six-letter word that can be arranged 720 different ways.
  15. Find a six-letter word that can be arranged 360 different ways.
  16. Find a six-letter word that can be arranged 120 different ways.