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    Counting Problems on Password Using Combination

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    1. Using only 26 capital letters of the alphabet, how many 8-letters password are possible?

    2. Repeat step 1 but do not allow the same letter to be used more than once in the password?

    3. Repeat steps 1 and 2 using an encryption alphabet that contains 26 uppercase letters, 26 lowercase letters, and digit 0 through 9.

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    Solution Preview

    Hi, this is in fact a statistical problem.

    1. Since we have 26 letters, if we create a 8-letter password, the first letter of password has 26 choices, the second letter of password has 26 choices, the eighth letter of password has 26 choices. So there are 26^8 possible ...

    Solution Summary

    The solution gives detailed steps on counting number of passwords using the technique of combination and permutation under several conditions.