Answer to Question #325946 in Discrete Mathematics for Claire

Question

Solve the problem and show solutions

1.A clothing store wants to stock

sweatshirts that come in four size (small, medium,large,x-large) and in 3 colors (yellow,blue, white). How many different types of sweatshirts will the store have to stock.

2.A clothing store wants to stock sweatshirts that come in four size (small, medium,large,x-large) and in 3 colors (yellow,blue, white). How many different types of sweatshirts will the store have to stock?

3.For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants,2 skirts, and 3 pairs of shoes for her birthday. How many outfit can she make?

Answer 1

1. As each size will be in three colors there will be 4*3 = 12 different types of sweatshirts
2. 12 different types of sweatshirts may be combined in four sizes and three colors
3. Each outfit should include one of five shirts, one of three pairs of pants or one of two skirts and one of three pairs of shoes. So total number of outfits is 5*(3+2)*3 = 75