Question

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? a. 39 b. 900 c. 399 d. 9000 Please select the best answer from the choices provided. A B C D.

Answer 1

We want to see how many different 4-digit passwords we can create by using digits from 0 to 9, such that the first character can't be 0.

We will see that the correct option is D: 9,000

The total number of different combinations is given by the product between the number of options for each selection.

Here we have 4 selections.

• First character.
• Second character.
• Third character.
• Fourth character.

Now let's find the number of options for each of these:

• First character: 9 options {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
• Second character:  10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
• Third character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
• Fourth character: 10 options {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The total number of different combinations is just the product of these 4 numbers:

C = 9*10*10*10 = 9,000

So we can conclude that the correct option is D.

If you want to learn more about combinations, you can read:

brainly.com/question/2280026