Question: A lock can be set to be open by any 5-digit sequence, where each digit is one of 0, 1, 2, 3, 4, 5, 6,

A lock can be set to be open by any 5-digit sequence, where each digit is one of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Digits can be repeated. (a) How many sequences are possible? (b) How many sequences are there that start with a 5? (c) How many sequences do not include a 5 in any position? (d) How many sequences include at least one 5

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