Mohinder needs to create a 5 character password. He wants each of the first, third, and fifth characters in the password to be one of the letters A to E and second and fourth characters to be one of the numerals 0 through 9. If each of the characters in the password must be unique how many passwords are possible

Mohinder needs to create a 5 character password He wants each of the first third and fifth characters in the password to be one of the letters A to E and second class=

Respuesta :

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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