meredith48034
Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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 using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.