# Applying counting principles | Mathematics homework help

Suppose you have a friend at a different university who is taking a similar math course to one you are taking. He is having problems understanding the subtle differences between permutations and combinations, as well as the accompanying formulas nCr and nPr. Also, he does not understand the Fundamental Counting Principle. In order to help, you pick three questions from your book that deal with these concepts and write him an email.

Directions:

• For this assignment, you will write a paper that will describe what you would say in an email to this friend. In your “email” you will present the solutions to the three problems below. Show every step of your calculation. Use nCr, nPr and the Fundamental Counting Principle in your email and explain what they mean.
• Include an introduction in your paper/email that gives background on combinations and permutations, provides motivation for learning these ideas, and relates any personal experiences you have with the topic.
• Include a conclusion that summarizes your answers, highlights the main points, and puts things in perspective for your friend.
• Please remember that any written part of your assignments must follow APA standards with no Plagerisim.

The three questions you must solve for your friend are:

1. How many different ways can 28 runners place in an Olympic qualifying marathon?
2. If only the eight fastest runners advance to the Olympics; how many different ways can the eight fastest runners be chosen from the whole field of 28 runners?
3. If the runner in first place receives a gold medal, the runner in second place receives a silver medal, and the runner in third place receives a bronze medal, how many different ways can the three medalists be chosen from the entire field of 28 runners?

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
• 24/7 support
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
• Expert Proofreading
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

### Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

### Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.