Kenneth Rosen Edition 7 Exercise 6.1 Question 69 (Page No. 398)

Question

• A. Suppose that a popular style of running shoe is available for both men and women. The woman’s shoe comes in sizes $6, 7, 8,\:\text{and}\: 9,$ and the man’s shoe comes in sizes $8, 9, 10, 11,\:\text{and}\: 12.$ The man’s shoe comes in white and black, while the woman’s shoe comes in white, red, and black. Use a tree diagram to determine the number of different shoes that a store has to stock to have at least one pair of this type of running shoe for all available sizes and colors for both men and women.
• B. Answer the question in part $(A)$ using counting rules.