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Question: 199 1. When getting ready in the morning, Marc selects his outfit from among four pairs of pants, six shirts, and two pairs of shoes. If each outfit includes one pair of pants, one shirt, and one pair of shoes, how many different outfits can Marc make? A. 12 B. 20 C. 27 D. 48 E. 54 Correct Answer: D Explanation: D. You want to use the counting principle to solve this question. (See Chapter 18 for a refresher on probability.) The counting principle tells you that when multiple events appear in a problem, the total number of possibilities is the product of the number of possibilities for each event. In this problem, you have three events: choosing a pair of pants (four possibilities), choosing a shirt (six possibilities), and choosing a pair of shoes (two possibilities). Therefore, you know that 4 × 6 × 2 = 48 different outfits you can make. Previous Next Morgan V. asked • 05/13/19
Jon is packing for a trip. He has packed 2 pairs of pants, 4 shirts, and 2 pairs of shoes. In the space below, create a tree diagram, table, or list to show the sample space representing his outfit combinations and determine how many outfits can be made. 2 Answers By Expert Tutors
Ari H. answered • 05/13/19 Ready to tutor almost anything - San Diego, south bay, & Rosarito.
Jon could wear pants1 or pants2. No matter which pants he wears, he has four shirts to choose from, so the combinations look like this: pants1 shirt1 pants1 shirt2 pants1 shirt3 pants1 shirt4 pants2 shirt1 pants2 shirt2 pants2 shirt3 pants2 shirt4 That's eight combinations. 2 pants * 4 shirts = 8 combinations. Now, no matter which combination he chooses, he can wear one of two pairs of shoes. Now, the combinations look like this: pants1 shirt1 shoes1 pants1 shirt1 shoes2 pants1 shirt2 shoes1 pants1 shirt2 shoes2 pants1 shirt3 shoes1 pants1 shirt3 shoes2 pants1 shirt4 shoes1 pants1 shirt4 shoes2 pants2 shirt1 shoes1 pants2 shirt1 shoes2 pants2 shirt2 shoes1 pants2 shirt2 shoes2 pants2 shirt3 shoes1 pants2 shirt3 shoes2 pants2 shirt4 shoes1 pants2 shirt4 shoes2 That's sixteen combinations. 2 pants * 4 shirts * 2 shoes = 16 combinations.
Pants 1 shirt 1 shoes 1 Pants 1 shirt 1 shoes 2 Pants 1 shirt 2 shoes 1 Pants 1 shirt 2 shoes 2 Pants 1 shirt 3 shoes 1 Pants 1 shirt 3 shoes 2 Pants 1 shirt 4 shoes 1 Pants 1 shirt 4 shoes 2 Pants 2 shirt 1 shoes 1 Pants 2 shirt 1 shoes 2 Pants 2 shirt 2 shoes 1 Pants 2 shirt 2 shoes 2 Pants 2 shirt 3 shoes 1 Pants 2 shirt 3 shoes 2 Pants 2 shirt 4 shoes 1 Pants 2 shirt 4 shoes 2 2*4*2 = 16 combinations Recommended textbooks for you Algebra and Trigonometry (6th Edition) Contemporary Abstract Algebra Publisher:Cengage Learning Linear Algebra: A Modern Introduction Publisher:Cengage Learning Algebra And Trigonometry (11th Edition) Introduction to Linear Algebra, Fifth Edition Publisher:Wellesley-Cambridge Press College Algebra (Collegiate Math) Author:Julie Miller, Donna Gerken Publisher:McGraw-Hill Education Algebra and Trigonometry (6th Edition) ISBN:9780134463216 Author:Robert F. Blitzer Publisher:PEARSON Contemporary Abstract Algebra ISBN:9781305657960 Author:Joseph Gallian Publisher:Cengage Learning Linear Algebra: A Modern Introduction ISBN:9781285463247 Author:David Poole Publisher:Cengage Learning Algebra And Trigonometry (11th Edition) ISBN:9780135163078 Author:Michael Sullivan Publisher:PEARSON Introduction to Linear Algebra, Fifth Edition ISBN:9780980232776 Author:Gilbert Strang Publisher:Wellesley-Cambridge Press College Algebra (Collegiate Math) ISBN:9780077836344 Author:Julie Miller, Donna Gerken Publisher:McGraw-Hill Education |