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Number of allowable passwords for the system

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Reference no: EM132422196

Problem: A computer system is protected by a password system. An allowable password must be composed of 4 or 5 symbols chosen from {a, b, ..., z, 0, 1, ..., 9}, and it must contain at least one symbol from {0, 1, ..., 9}, i.e., there is at least one digit.

Examples of allowable passwords are: 1aaa, acd2, x2z2a. On the other hand, passwords such as aabcd, absda are not allowable.

Question 1: What is the number of allowable passwords for the system?

Question 2: Suppose that 138 students in ENGG2440B have chosen a distinct and allowable password password. Meanwhile, you select your (allowable) password randomly with an equal probability, what is the probability that your password is the same as one of your classmates? In your answer, please specify the sample space and the event that you are interested in.

Reference no: EM132422196

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