meredith48034
Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

you have been assigned a 9 digit identification number.

Explain why you should use a Fundamental Counting Principle?

How many identification numbers are possible?
​

Sagot :

xKelvin

Answer:

1,000,000,000 identification numbers are possible.

Step-by-step explanation:

We are assigned a 9 digit identification number.

Each digit is a number from 0 to 9. So, each digit has 10 different choices.

Using the Fundamental Counting Principle (is better than the tree diagram) because it's simpler. To illustrate this, we can attempt to draw a tree diagram.

The first column will be the digits 0 to 9.

Then for each of those digits, we need another 0 to 9.

As you can imagine, the amount of numbers grow exponentially, so using the Fundamental Counting Principle is simpler.

And since we have a 9 digit identification number, with each digit having 10 choices, the total number of identification numbers possible are:

[tex]10\times 10\times 10 \times 10\times 10 \times 10 \times 10 \times 10 \time 10\times 10=10^9=100000000[/tex]

So, 1,000,000,000 identification numbers are possible.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.