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?

1 2 3 4

0% 0%0%0%

10

1. 10,0002. 5,0403. 404. 210

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?

1 2 3 4

0% 0%0%0%

10

1. 1,860,4802. 2,027,4183. 15,5044. 1,307,674

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?

1 2 3 4

0% 0%0%0%

10

1. 24,3602. 21,9243. 4,0604. 3,654

Suppose there are 80 students in class today. How many different simple random samples of 7 students can be selected from the class?

1 2 3 4 5

0% 0% 0%0%0%

10

1. 7!2. 80P7

3. 80C7

4. 80!/7!5. 73!

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?

1 2 3 4

0% 0%0%0%

10

1. 1/3,478,7612. 41/3,478,7613. 1/417,451,3204. 41/146,107,962