/*! 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 9 A new state employee is offered ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 9

A new state employee is offered a choice of ten basic health plans, three dental plans, and two vision care plans. How many different health-care plans are there to choose from if one plan is selected from each category?

Short Answer

Expert verified
There are a total of 60 different health-care plans to choose from, as calculated by the Multiplication Principle: 10 health plans 脳 3 dental plans 脳 2 vision care plans = 60 combinations.

Step by step solution

01

Identify the options for each category

We have three categories: 1. Health plans: There are 10 basic health plans to choose from. 2. Dental plans: There are 3 dental plans to choose from. 3. Vision care plans: There are 2 vision care plans to choose from.
02

Apply the Multiplication Principle

According to the Multiplication Principle, if there are m ways to do one thing and n ways to do another, then there are m 脳 n ways to do both. In this case, there are 10 health plans, 3 dental plans, and 2 vision care plans. So, the total number of different choices for health-care plans is the product of these options.
03

Calculate the number of different health-care plans

Multiply the number of options from each category to get the total number of different health-care plans available: Total health-care plans = Health plans 脳 Dental plans 脳 Vision care plans Total health-care plans = 10 脳 3 脳 2
04

Simplify and find the answer

Perform the multiplication: Total health-care plans = 60 There are 60 different health-care plans to choose from when selecting a plan from each category.

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

A "lucky dollar" is one of the nine symbols printed on each reel of a slot machine with three reels. A player receives one of various payouts whenever one or more "lucky dollars" appear in the window of the machine. Find the number of winning combinations for which the machine gives a payoff. Hint: (a) Compute the number of ways in which the nine symbols on the first, second, and third wheels can appear in the window slot and (b) compute the number of ways in which the eight symbols other than the "lucky dollar" can appear in the window slot. The difference \((a-b)\) is the number of ways in which the "lucky dollar" can appear in the window slot. Why?

Use Venn diagrams to illustrate each statement.. $$ A \cap(B \cup C)=(A \cap B) \cup(A \cap C) $$

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. $$ \text { If } A \subseteq B, \text { then } A \cap B=A \text { . } $$

$$ \begin{array}{l} \text { List all subsets of the set } A=\\{\mathrm{IBM}, \text { U.S. Steel, Union }\\\ \text { Carbide, Boeing\\}. Which of these are proper subsets of } A \text { ? } \end{array} $$

The 2007 Toyota Camry comes with 5 grades of models, 2 sizes of engines, 4 choices of transmissions, 5 exterior colors, and 2 interior colors. How many choices of the Camry are available for a prospective buyer?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Decision 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.