SOLUTION: A password consists of a letter chosen from the English alphabet, followed by three digits chosen from 0 to 9, followed by two special characters chosen from the set {!, @, #, $, %

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Question 1100717: A password consists of a letter chosen from the English alphabet, followed by three digits chosen from 0 to 9, followed by two special characters chosen from the set {!, @, #, $, %}.How many different passwords are possible?
Found 2 solutions by richwmiller, ikleyn:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
26*10*10*10*5*5=650000
10*10*10=three digits chosen from 0 to 9 three times

Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
A password consists of a letter chosen from the English alphabet, followed by three digits chosen from 0 to 9, followed by
two special characters chosen from the set {!, @, #, $, %}.How many different passwords are possible?
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The solution and the answer by  @richwmiller  are totally  W R O N G.

For your safety,  simply ignore it.

Below please find the correct solution.

The problem says NOTHING about if repeating of symbols is allowed or not.


By DEFAULT, we must assume that repeating is allowed.


Then you have any of 26 letters of the English alphabet at the first position;

              any of 10 digits at the positions from 2 to 4, and
  
              any of 5 special symbols in positions 5 and 6.


In all, there are  26%2A10%5E3%2A5%5E2 = 650000  different possible passwords.