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26 October, 00:02

If we are using an 4-character password that contains only lowercase English alphabetic characters (26 different characters), how many * more * possible passwords are there if we use a 5-character password (still only lowercase English alphabetic characters?

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  1. 26 October, 01:40
    0
    11,424,400 possible passwords

    Explanation:

    Since all characters are letters and only lowercase

    we have 26∧4 = 456,976 possibilities

    For a 5-character password which is still lower case sensitive.

    we have 26∧5 = 11,881,376 possibilities

    Many more possible passwords = (11881376-456976)

    = 11,424,400 possible passwords
  2. 26 October, 02:40
    0
    If we are using a 4-character password that contains only lowercase alphabets and repetition of these alphabets are allowed then the possible passwords are:

    26 * 26 * 26 * 26 = 26 ^ 4 = 456976

    If we are using a 4-character password that contains only lowercase alphabets and repetition of these alphabets are not allowed then the possible passwords are:

    n! / (n - r) ! = 26! / (26 - 4) ! = 358,800

    Explanation:

    If we are using a 5-character password that contains only lowercase alphabets and repetition of these alphabets are allowed then the possible passwords are:

    26 * 26 * 26 * 26 * 26 = 26 ^ 5 = 11881376

    If we are using a 5-character password that contains only lowercase alphabets and repetition of these alphabets are not allowed then the possible passwords are:

    n! / (n - r) ! = 26! / (26 - 5) ! = 7893600

    how many * more * possible passwords are there if we use a 5-character password:

    Possible passwords when we use 5 character passwords - Possible passwords when we use 4 character passwords.

    11881376 - 456976 = 11424400
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