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10,000 5,040 40 210

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?. 10,000 5,040 40 210. 10.

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10,000 5,040 40 210

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  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? • 10,000 • 5,040 • 40 • 210 10

  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? • 1,860,480 • 2,027,418 • 15,504 • 1,307,674 10

  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? • 24,360 • 21,924 • 4,060 • 3,654 10

  4. Suppose there are 80 students in class today. How many different simple random samples of 7 students can be selected from the class? • 7! • 80P7 • 80C7 • 80!/7! • 73! 10

  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? • 1/3,478,761 • 41/3,478,761 • 1/417,451,320 • 41/146,107,962 10

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