Show all work
Draw a tree diagram to show the sample space for each event. Determine the number of possible outcomes.
9) Earning an A, B, or C in English, Math, and Science classes
10) Buying a computer with a choice of a CD-ROM, a CD recorder, or a DVD drive, one of 2 monitors, and either a printer or a scanner.
Find the value of each expression.
11) 4!
12) 7!
13) 11!
14) 13!
15) Three dice, one red, one white, and one blue are rolled. How many outcomes are possible?
16) How many outfits are possible if you choose one each of 5 shirts, 3 pairs of pants, 3 pairs of shoes, and 4 jackets?
Communications For exercises 18 and 19, use the following information.
A new 3-digit area code is needed in a certain area to accommodate new telephone numbers.
18) If the first digit must be odd, the second digit must be a 0 or a 1, and the third digit can be anything, how many area codes are possible?
19) Draw a tree diagram to show the different area codes using 4 or 5 for the first digit, 0 or 1 for the second digit, and 7, 8, or 9 for the third digit?
23) Critical Thinking: To get to and from school, Tucker can walk, ride his bike or get a ride with a friend. Suppose that one week he walked 60% of the time, rode his bike 20% of the time, and rode with his friend 20% of the time. How many outcomes represent this situation? Assume that he returns home the same way that he went to school.
Determine whether each situation involves a permutation or combination. Explain your reasoning.
14) team captains for the soccer team
18) first place and runner-up winners for the table tennis tournament
Evaluate each expression
22) 12P3
26) 15C3
30) (7P7)(7P1)
32) (3C2)(7C4)
Softball for exercises 34 and 35, use the following information.
The manager of a softball team needs to prepare a batting lineup using her nine starting players.
34) Does this situation involve a permutation or a combination?
35) How many different lineups can she…