Cell Phone SIM Codes A cell phone provider assigns a code to each of its SIM (subscriber

Chapter 8, Problem 47

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Cell Phone SIM Codes A cell phone provider assigns a code to each of its SIM (subscriber identity module) cards. The codes start with one letter followed by five numbers and end with two additional letters. (Assume repetition is allowed, and order is important.) (a) How many different cell phone codes are there? (b) What is the probability a code selected at random ends in AA? (c) What is the probability a code selected at random begins with A and ends with A? (d) What is the probability a code selected at random has no repeated letter and no repeated number? (e) What is the probability a code selected at random has no repeated letter and all five numbers are the same?

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