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4 June, 07:07

Most ATM's require a 4-digit code using the digits 0-9 how many 4-digit codes can you use

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  1. 4 June, 10:20
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    10000 digits can be used for 4 digit A. T. M code.

    Solution:

    Given that A. T. M required 4 digit codes using the digits 0 to 9.

    Need to determine how many four digit code can be used.

    We are assuming that number starting with 0 are also valid ATM codes that means 0789, 0089, 0006 and 0000 are also valid A. T. M codes.

    Now we have four places to be filled by 0 to 9 that is 10 numbers

    Also need to keep in mind that repetition is allowed in this case means if 9 is selected at thousands place than also it is available for hundreds, ones or tens place.

    First digit can be selected in 10 ways that is from 0 to 9.

    After selecting first digit, second digit can be selected in 10 ways that is 0 to 9 and same holds true for third and fourth digit.

    So number of ways in which four digit number is created = 10 x 10 x 10 x 10 = 10000 ways

    Hence 10000 digits can be used for 4 digit A. T. M code.
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