(c) The following protocol has been proposed by your friend about a password system:
(i) Passwords will consist of 5 phrases separated by a space in between two consecutive phrases.
(ii) Each phrase will be between 6 and 8 characters long. Characters can be digits or letters or one of the 7 special characters: !, $, ^, &, *, (, ).
(iii) Each phrase must use at least one special character.
(iv) The first phrase will start with a digit, the second one will start with a letter, and the rest will start with a special character.
(v) The phrases are case sensitive; however, if the first character is a letter, then it must be a capital letter.
You, on the other hand, were planning to propose a rather simple protocol as follows:
(i) Password will be between 6 and 8 characters long. Characters can be digits or letters. Letters are case sensitive.
(ii) Passwords start with a letter.
Analyze which one you will finally choose to have a better password system. Looking at both the proposals and your analysis, your genius little brother made a flying comment that your decision (following your analysis) would not change even if the phrases are only 3 characters long. Do you agree? You need to justify your answer.