Permutations and Combinations Name: _________________________

Evaluate the factorial.

1) 2) 3)

Find the number if permutations or combinations.

4) 5) 6) 7)

In Exercises 8-11, tell whether the possibilities can be counted using permutations or combinations. Then answer the question.

8) In order to conduct an experiment, 3 subjects are randomly selected from a group of 15 subjects. How many different groups of 3 subjects are possible?

9) You are knitting a sweater, and you want it to have 4 different colored stripes. You have 13 different colors of yarn. How many different sweaters could you knit?

10) A florist has 12 different flowers from which floral vases can be made. A centerpiece is made using 5 different flowers. How many different groups of 5 flowers can the florist choose?

11) A survey asks students to rank math, English, social studies, and science according to how much they like each subject. How many possible responses are there?