#1 You have 13 different video games. How many different ways can you arrange the games side by side on a shelf?

#2 Outside a home, there is a 9-key keypad with letters A,B,C,D,E,F,G,H,andI that can be used to open the garage if the correct nine-letter code is entered. Each key may be used only once. How many codes are possible?

#3 An archaeology club has 28 members. How many different ways can the club select a president, vice president, treasurer, and secretary?

#4 In a certain lottery, you must correctly select 4 numbers (in any order) out of 39

to win. You purchase one lottery ticket. What is the probability that you will win?

#5 A warehouse employs 28 workers on first shift, 16 workers on second shift, and 11 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first-shift workers.

#6 (a) Construct a probability distribution.

Overtime hours. Employees 0 7 1 13 2 30 3 59 4 44 5 25 6 18