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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

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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

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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

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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!

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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

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