USING AND INTERPRETING CONCEPTS
19. Video Games: You have seven different video games. How many different ways can you arrange the games side by side on a shelf?
20. Skiing: Eight people compete in a downhill ski race. Assuming that there are no ties, in how many different orders can the skiers finish?
21. Security Code: In how many ways can the letters A, B, C, D, E, and F be arranged for a six-letter security code?
22. Starting Lineup: The starting lineup for a softball team consists of 10 players. How many different batting orders are possible using the starting lineup?
SECTION 3.4 ADDITIONAL TOPICS IN PROBABILITY AND COUNTING
23. Footrace: There are 50 runners in a race. How many ways can the runners finish first, second, and third?
24. Singing Competition: There are 16 finalists in a singing competition. The top five singers receive prizes. How many ways can the singers finish first through fifth?
25. Playlist: A DJ is preparing a playlist of 24 songs. How many different ways can the DJ choose the first six songs?
26. Archaeology Club: An archaeology club has 38 members. How many different ways can the club select a president, vice-president, treasurer, and secretary?
27. Bracelets: You are putting 4 spacers, 10 gold charms, and 8 silver charms on a bracelet. In how many distinguishable ways can the spacers and charms be put on the bracelet?
28. Necklaces: You are putting 9 pieces of blue beach glass, 3 pieces of red beach glass, and 7 pieces of green beach glass on a necklace. In how many distinguishable ways can the beach glass be put on the necklace?
29. Letters: In how many distinguishable ways can the letters in the word "statistics" be written?
30. Computer Science: A byte is a sequence of eight bits. A bit can be a 0 or a 1. In how many different ways can a byte be formed using three 0's and three 1's?
31. Experimental Group: In order to conduct an experiment, 4 subjects are randomly selected from a group of 20 subjects. How many different groups of four subjects are possible?
32. Jury Selection: From a group of 40 people, a jury of 12 people is selected. In how many different ways can a jury of 12 people be selected?
Students: A class has 30 students. In how many different ways can five students form a group for an activity? Assume the order of the students is not important.