Suppose we are interested in counting the number of possible 5-character passwords that exist for a particular credit-checking website. The password can consist of any letter, any digit, or any of the characters !, @, #, $, %. The password is not case sensitive. a. How many possible passwords are there with these conditions? b. How many possible passwords are there if we impose an additional condition where the characters cannot repeat? c. How many possible passwords are possible if we impose the condition that the last 2 characters have to be the same as the first two characters?

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