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What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 inclusive, but not using the digit 0 as the first character of the password?

Respuesta :

Answer:

Total amount of choices possible for the password = 9000  

Step-by-step explanation:

We are given digits : 0 to 9 ( inclusive)

And we need to construct a four digit password by using the given digits.

Also, given that that the first character of the password cannot be 0

So, Number of choices for 1st character of the password = 10 - 1 = 9

Number of choices for 2nd character of the password = 10

Number of choices for 3rd character of the password = 10

Number of choices for 4th character of the password = 10

So, Total amount of choices possible for the password = 9 × 10 × 10 × 10 = 9000

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