How about skipping the openning of the external file and just doing something simple like this:

#!/usr/bin/perl -w

   use strict;

# Make declarations of variables.

   my @alpha = ('a'..'z', 'A'..'Z');
   my @numeric = (0 .. 9);
   my ($a_pwd0, $a_pwd1, $a_pwd2,
       $a_pwd3, $n_pwd0, $n_pwd1);

# Choose random letters and numbers for each string.

   $a_pwd0 = $alpha[int rand @alpha];
   $a_pwd1 = $alpha[int rand @alpha];
   $a_pwd2 = $alpha[int rand @alpha];
   $a_pwd3 = $alpha[int rand @alpha];

   $n_pwd0 = $numeric[int rand @numeric];
   $n_pwd1 = $numeric[int rand @numeric];

# Print password:

   print "\n\n", "Your password is: ",
        $a_pwd0,$n_pwd0,$n_pwd1,$a_pwd1,
        $a_pwd2,$a_pwd3, "\n\n";

   exit;
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