The number of unique passwords is 5400
How to determine the number of unique passwords?
The characteristics of the password are given as:
- Number of characters = 5
- First, third, and fifth characters in the password = One of the letters A to E
- Second and fourth characters = one of the numerals 0 through 9
Since the characters in the password must unique, we have the following possibilities
- First character = Any of 5 characters
- Second characters = Any of 10 digits
- Third character = Any of remaining 4 characters
- Fourth characters = Any of remaining 9 digits
- Fifth character = Any of remaining 3 characters
So, the number of unique passwords is
Password = 5 * 10 * 4 * 9 * 3
Evaluate the product
Password = 5400
Hence, the number of unique passwords is 5400
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