/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 60 Write an original problem that c... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 60

Write an original problem that can be solved using the Fundamental Counting Principle. Then solve the problem.

Short Answer

Expert verified
There are 24 different combinations to choose a full meal, if considering one item from each category, according to the Fundamental Counting Principle.

Step by step solution

01

- Understand the Fundamental Counting Principle

The Fundamental Counting Principle states that if there are \( m \) ways to do one thing, and \( n \) ways to do another, then there are \( m \times n \) ways of doing both.
02

- Develop the problem

Problem: A fast food restaurant offers 3 types of sandwiches (Chicken, Beef, Vegetarian), 4 kinds of drinks (Coca-cola, Sprite, Water, Juice), and 2 kinds of desserts (Cake, Ice-cream). How many different meal combinations can a customer order?
03

- Apply the Fundamental Counting Principle

According to the Fundamental Counting Principle, the total number of different meal combinations can be found by multiplying the number of chocies in each category. So in this case, it would be \( 3 \text{ sandwhich choices} \times 4 \text{ drink choices} \times 2 \text{ dessert choices} \).
04

- Calculate the number of combinations

Calculating this gives \( 3 \times 4 \times 2 = 24 \) different meal combinations.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What is Pascal's triangle? How do you find the numbers in any row of the triangle?

Write a formula for the general term (the nth term) of each arithmetic sequence. Do not use a recursion formula. Then use the formula for \(a_{n}\) to find \(a_{20}\), the 20 th term of the sequence. Find the sum of the odd integers between 30 and 54.

Write the first three terms in each binomial expansion, expressing the result in simplified form. $$ \left(x^{2}+1\right)^{16} $$

Explain how to use the Binomial Theorem to expand a binomial. Provide an example with your explanation.

A poker hand consists of five cards. a. Find the total number of possible five-card poker hands that can be dealt from a deck of 52 cards. b. A diamond flush consists of a five-card hand containing all diamonds. Find the number of possible five-card diamond flushes. c. Find the probability of being dealt a diamond flush.
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.