Stat Homework
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Stat1045.4HW1.docxStat 104 Chapter 5 Name:________________________
5.4 Homework
page 303 - 304 #1, 3, 7, 9, 11, 13, 17, 23, 25, 33, 41, 51, 57
1. What type of diagram is helpful in itemizing the possible outcomes of a series of events?
3. What is the difference between a permutation and a combination?
7. A pizza store offers the following options to its customers. Use a tree diagram to list all the possible options from which a customer may choose.
Cheese: no cheese, regular cheese, double cheese.
Pepperoni: no pepperoni, regular pepperoni, double pepperoni.
9. A particular baseball pitcher has to choose from the following options on each pitch. Use a tree diagram to list all the possible options.
Type of pitch: fast ball, curve, slider.
Horizontal position: inside corner, over the plate, outside corner.
Vertical position: High or low.
11. Our 41st president, George Herbert Walker Bush, had four names, with initials GHWB. How many different possible sets of initials are there for people with four names?
13. A college dining service conducted a survey in which it asked students to select their first and second favorite flavors of ice cream from a list of five flavors: vanilla, chocolate, mint chocolate chip, strawberry and maple walnut. How many different possible sets of two favorites are there?
17. Find the value of factorial 6!
23. A woman is considering four sororities to rush this year but only has time to rush two. How many possible orderings are there?
25. Find the value of the permutation nPr = 7P3.
33. Find the value of the combination nCr = 7C3.
41. How many distinct strings of letters can we make by using all the letters in the work PIZZA?
51. A sit-down restaurant has two types of appetizers: garden salad and Buffalo wings. It has three entrees: spaghetti, steak, and chicken. And it offers three kinds of desserts: ice cream, cake, and pie.
a. Draw a tree diagram to find all the different meals a customer can order at this restaurant.
b. How many different meals can a customer order at this restaurant?
57. Five children are playing catch with a ball. How many different ways can one child throw a ball to another child once?
Stat 104 5.4 HW
Fall 2020 Instructor J Hodgson Page 1 of 2
