/*! 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 5 A female executive selecting her... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 5

A female executive selecting her wardrobe purchased two blazers, four blouses, and three skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection?

Short Answer

Expert verified
The female executive can create 24 different ensembles from her collection of 2 blazers, 4 blouses, and 3 skirts, using the counting principle: \(2 \times 4 \times 3 = 24\).

Step by step solution

01

Determine the number of choices for each clothing item

For creating an ensemble, the executive needs to choose one item from each category of clothing: - Blazers: She has 2 blazers to choose from. - Blouses: She has 4 blouses to choose from. - Skirts: She has 3 skirts to choose from.
02

Use the counting principle

We can use the counting principle to find the total number of ensembles. The counting principle states that the number of ways to make a series of choices is the product of the number of choices for each step. In this case, we have: - Number of choices for blazers: 2 - Number of choices for blouses: 4 - Number of choices for skirts: 3 Using the counting principle, let's multiply the number of choices for each clothing item: Total ensembles = number of blazer choices 脳 number of blouse choices 脳 number of skirt choices
03

Calculate the total number of ensembles

Multiply the number of choices for each clothing item: Total ensembles = 2 blazers 脳 4 blouses 脳 3 skirts = \(2 \times 4 \times 3 = 24\) So, the female executive can create 24 different ensembles from her collection of blazers, blouses, and skirts.

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

Describe each set in words. a. \(T^{c} \cap C^{c}\) b. \((T \cup C)^{c}\)

Over the years, the state of California has used different combinations of letters of the alphabet and digits on its automobile license plates. a. At one time, license plates were issued that consisted of three letters followed by three digits. How many different license plates can be issued under this arrangement? b. Later on, license plates were issued that consisted of three digits followed by three letters. How many different license plates can be issued under this arrangement?

Find \(n(A \cup B)\) given that \(n(A)=6, n(B)=10\), and \(n(A \cap B)=3 .\)

$$ \text { Verify each equation by direct computation. } $$ a. \(A \cap(B \cup C)=(A \cap B) \cup(A \cap C)\) b. \((A \cup B)^{c}=A^{c} \cap B^{c}\)

On a certain day, the Wilton County Jail held 190 prisoners accused of a crime (felony and/or misdemeanor). Of these, 130 were accused of felonies and 121 were accused of misdemeanors. How many prisoners were accused of both a felony and a misdemeanor?
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Statistics

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.