1. Each small square has sides of length 1 unit. How many distinct paths of length six units are there from A to B? A B..

2. Andy has 3 pairs of pants: 1 gray, 1 blue, and 1 black. He has 2 shirts: 1 white, and 1 red. If Andy picks 1 pair of pants and 1 shirt, how many different outfits does he have?

3. Andy can choose 1 of 3 pairs of pants and 1 of 2 shirts. A tree diagram can help you count his choices. pantsshirts gray white red bluewhite red blackwhite red 3 × 2 = 6 different outfits

4. You can also use the counting principle. n × m = n × m first second total choices choices choices × =

5. Find the total number of choices. 1. Moesha has 6 pairs of socks and 2 pairs of sneakers. She chooses 1 pair of socks and 1 pair of sneakers. How many possible combinations are there? 2. Kim has 5 swimsuits, 3 pairs of sandals, and 2 beach towels. In how many ways can she pick one of each?

6. Use the counting principle to find the total number of choices. 1.How many license plates are possible if four letters are to be followed by two digits? 2.How many license plates are possible if two letters are to be followed by four digits?

7. Two different numbers are randomly selected from the set {1, 2, 3, 4, 5, 6, 7}. What is the probability that their sum is at least 7? Express your answer as a common fraction.