1. Your laptop computer requires you to designate a 4- digit code using the digits 0 – 9 (you can use the same digit more than once and order counts) as the password to use your computer. How many passwords are possible? 10 1.10,000 2.5,040 3.40 4.210

2. After graduation you plan on applying to graduate school at 5 universities selected from a list of 20 universities provided by your advisor. To how many different groups of 5 universities can you apply? 10 1.1,860,480 2.2,027,418 3.15,504 4.1,307,674

3. A bank vault containing $1,000,000 has a lock with the numbers 0 through 29 on the dial. One 3-digit sequence of numbers (each number must be different) opens the vault. You want to break into the vault to get the money but you do not know the 3-digit sequence that opens the lock. How many 3-digit sequences are possible? 10 1.24,360 2.21,924 3.4,060 4.3,654

4. Suppose there are 80 students in class today. How many different simple random samples of 7 students can be selected from the class? 10 1.7! 2. 80 P 7 3. 80 C 7 4.80!/7! 5.73!

5. In a multi-million dollar lotto game a player must choose 5 different numbers from 1 to 55 (order is not important) and a powerball number between 1 and 42. To win the jackpot you must choose all 5 numbers and the powerball number. A lesser prize of $200,000 is given if a player chooses the first 5 numbers correctly but chooses the incorrect powerball number. What is the probability of winning $200,000? 10 1.1/3,478,761 2.41/3,478,761 3.1/417,451,320 4.41/146,107,962