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Unformatted text preview: Mathematics Department, UCLA P. Caputo Fall 08, midterm 1 Oct 22, 2008 Midterm 1: Math 170A Probability, Sec. 2 Last name First and Middle Names Signature UCLA ID number (if you are an extension student, say so) Please note: 1. Provide the information asked above and write your name on the top of each page. 2. The only thing you may use during the exam is a pen to write down your answers. Every thing else (calculator, textbook, notes, your own paper, . .. ) has to be put away safely. 3. Cheating in any way will not be tolerated. Do not speak during the exam. 4. Show your work and explain what you are doing. This is more important than just finding the right answer. 5. You can use the blank pages as scratch paper or if you need more space to finish the solution to a question. When you continue on another page indicate this clearly. 6. The maximal number of points attainable is given at the beginning of each question. Good Luck! Question 1 2 3 4 5 Total Score out of 8 10 12 10 10 50 Name: 1. (8 pts) You are setting up a new account and you are asked to choose a password. The password has to have 8 entries, 5 of which must be letters from a to z while the remaining 3 must be numbers from 0 to 9. Assume that repetitions are allowed and there is no restriction on where the letters or numbers can be placed. How many choices do you have if only lower case letters are allowed ? How many if both upper and lower case letters are allowed ? Solution . There are ( 8 3 ) choices for the positions of the numbers (and letters) in the password....
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 Fall '08
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 Probability, Letter case, lower case letters, Lower case

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