An ATM personal identification number (PIN) consists of a four-digit sequence. (a) How many different possible PINs are there if there are no restrictions on the possible choice of digits? (b) According to a representative at the authors' local branch of Chase Bank, there are in fact restrictions on the choice of digits. The following choices are prohibited: (1) all four digits identical; ( 2) sequences of consecutive ascending or descending digits, such as 6543 ; (3) any sequence starting with
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SOLVED: To use an automated teller machine (ATM), a customer must enterhis or her four-digit Personal Identification Number (PIN). Howmany different PINs are possible?a) If the digits can be repeatedb) If the digits can not be repeated
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The personal identification numbers (PINs) for automatic teller machines usually consist of four digits. You notice that most of your PINs have at least one 0 , and you wonder if the issuers use lots of 0 s to make the numbers easy to remember. Suppose that PINs are assigned at random, so that all four-digit numbers are equally likely. (a) How many possible PINs are there? (b) What is the probability that a PIN assigned at random has at least one 0 ? | Numerade
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