Directions: Solve each of the problems below using the combinations and permutations formulas given
in the lesson. Show all pertinent work for full credit.

1. The chairman of the community bazaar is assigning people to chair committees. How many different ways can the 6 people be assigned to chair the subcommittees?

2. From a selection of 9 different colored notebooks, Tom can take a group of 3. How many groups of 3 did he have to choose from if repetition is allowed?

3. How many different ways can the letters in the word grade be arranged?

4. In how many ways can a starting team of 5 players be chosen from a team of 14 players?


Combinations and Permutations Assignment

5. John could not decide in what order to place his 7 books on his new shelf. How many ways can the 7books be arranged?

6. There are 13 flavors at the soda machine, and anyone can choose 6. A sign says we are only allowed to use one of each flavor. You decide to grab a cup and fill it up with your favorite flavors at random (it’s all going to the same place, right?). How many possible soda mixtures can you make?

7. The manager of the soda shop decides that because you are a good customer, you may use a flavor as many times as you’d like. How many different possible mixtures can you make now (remember, you have 13 flavors available to you and you must choose 6)?

8. You realize that, despite what you expected, the soda actually tastes different depending on which flavor you choose first, second, etc. With this in mind, how many different sodas can you make?