Geometry, Student Edition
Geometry, Student Edition
1st Edition
ISBN: 9780078884849
Author: McGraw-Hill, McGraw Hill
Publisher: Glencoe/McGraw-Hill School Pub Co
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Counting Principles
In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of …
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Question
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Chapter 13, Problem 8PT
To determine

How many distinguishable ways are there to arrange the letters of the word “bubble”?

Expert Solution & Answer
Check Mark

Answer to Problem 8PT

The word bubble can be arranged in 120 distinguishable ways.

Explanation of Solution

Given information: The given word to arrange is “bubble.”

Calculation: Since the word bubble has 6 letters in it and the letter “b” occurs 3 times in it. Therefore it can be arranged in 6!3! ways.

Simplify 6!3! gives120.

Hence the word bubble can be arranged in 120 distinguishable ways.

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Chapter 13, Problem 7PT
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Chapter 13, Problem 9PT

Chapter 13 Solutions

Geometry, Student Edition

Ch. 13.1 - Prob. 1CYPCh. 13.1 - Prob. 2CYPCh. 13.1 - Prob. 3CYPCh. 13.1 - Prob. 1CYUCh. 13.1 - Prob. 2CYUCh. 13.1 - Prob. 3CYUCh. 13.1 - Prob. 4CYUCh. 13.1 - Prob. 5CYUCh. 13.1 - Prob. 6PPSCh. 13.1 - Prob. 7PPS
Ch. 13.1 - Prob. 8PPSCh. 13.1 - Prob. 9PPSCh. 13.1 - Prob. 10PPSCh. 13.1 - Prob. 11PPSCh. 13.1 - Prob. 12PPSCh. 13.1 - Prob. 13PPSCh. 13.1 - Prob. 14PPSCh. 13.1 - Prob. 15PPSCh. 13.1 - Prob. 16PPSCh. 13.1 - Prob. 17PPSCh. 13.1 - Prob. 18PPSCh. 13.1 - Prob. 19PPSCh. 13.1 - Prob. 20PPSCh. 13.1 - Prob. 21PPSCh. 13.1 - Prob. 22PPSCh. 13.1 - Prob. 23PPSCh. 13.1 - Prob. 24PPSCh. 13.1 - Prob. 25HPCh. 13.1 - Prob. 26HPCh. 13.1 - Prob. 27HPCh. 13.1 - Prob. 28HPCh. 13.1 - Prob. 29HPCh. 13.1 - Prob. 30HPCh. 13.1 - Prob. 31STPCh. 13.1 - Prob. 32STPCh. 13.1 - Prob. 33STPCh. 13.1 - Prob. 34STPCh. 13.1 - Prob. 35SPRCh. 13.1 - Prob. 36SPRCh. 13.1 - Prob. 37SPRCh. 13.1 - Prob. 38SPRCh. 13.1 - Prob. 39SPRCh. 13.1 - Prob. 40SPRCh. 13.1 - Prob. 41SPRCh. 13.1 - Prob. 42SPRCh. 13.1 - Prob. 43SPRCh. 13.1 - Prob. 44SPRCh. 13.1 - Prob. 45SRCh. 13.1 - Prob. 46SRCh. 13.1 - Prob. 47SRCh. 13.1 - Prob. 48SRCh. 13.1 - Prob. 49SRCh. 13.2 - Prob. 1CYPCh. 13.2 - Prob. 2CYPCh. 13.2 - Prob. 3CYPCh. 13.2 - Prob. 4CYPCh. 13.2 - Prob. 5CYPCh. 13.2 - Prob. 1CYUCh. 13.2 - Prob. 2CYUCh. 13.2 - Prob. 3CYUCh. 13.2 - Prob. 4CYUCh. 13.2 - Prob. 5CYUCh. 13.2 - Prob. 6PPSCh. 13.2 - Prob. 7PPSCh. 13.2 - Prob. 8PPSCh. 13.2 - Prob. 9PPSCh. 13.2 - Prob. 10PPSCh. 13.2 - Prob. 11PPSCh. 13.2 - Prob. 12PPSCh. 13.2 - Prob. 13PPSCh. 13.2 - Prob. 14PPSCh. 13.2 - Prob. 15PPSCh. 13.2 - Prob. 16PPSCh. 13.2 - Prob. 17PPSCh. 13.2 - Prob. 18PPSCh. 13.2 - Prob. 19PPSCh. 13.2 - Prob. 20PPSCh. 13.2 - Prob. 21PPSCh. 13.2 - Prob. 22PPSCh. 13.2 - Prob. 23HPCh. 13.2 - Prob. 24HPCh. 13.2 - Prob. 25HPCh. 13.2 - Prob. 26HPCh. 13.2 - Prob. 27HPCh. 13.2 - Prob. 28HPCh. 13.2 - Prob. 29STPCh. 13.2 - Prob. 30STPCh. 13.2 - Prob. 31STPCh. 13.2 - Prob. 32STPCh. 13.2 - Prob. 33SPRCh. 13.2 - Prob. 34SPRCh. 13.2 - Prob. 35SPRCh. 13.2 - Prob. 36SPRCh. 13.2 - Prob. 37SPRCh. 13.2 - Prob. 38SPRCh. 13.2 - Prob. 39SRCh. 13.2 - Prob. 40SRCh. 13.2 - Prob. 41SRCh. 13.2 - Prob. 42SRCh. 13.2 - Prob. 43SRCh. 13.2 - Prob. 44SRCh. 13.3 - Prob. 1ACYPCh. 13.3 - Prob. 1BCYPCh. 13.3 - Prob. 2CYPCh. 13.3 - Prob. 3CYPCh. 13.3 - Prob. 4ACYPCh. 13.3 - Prob. 4BCYPCh. 13.3 - Prob. 1CYUCh. 13.3 - Prob. 2CYUCh. 13.3 - Prob. 3CYUCh. 13.3 - Prob. 4CYUCh. 13.3 - Prob. 5CYUCh. 13.3 - Prob. 6PPSCh. 13.3 - Prob. 7PPSCh. 13.3 - Prob. 8PPSCh. 13.3 - Prob. 9PPSCh. 13.3 - Prob. 10PPSCh. 13.3 - Prob. 11PPSCh. 13.3 - Prob. 12PPSCh. 13.3 - Prob. 13PPSCh. 13.3 - Prob. 14PPSCh. 13.3 - Prob. 15PPSCh. 13.3 - Prob. 16PPSCh. 13.3 - Prob. 17PPSCh. 13.3 - Prob. 18PPSCh. 13.3 - Prob. 19PPSCh. 13.3 - Prob. 20PPSCh. 13.3 - Prob. 21PPSCh. 13.3 - Prob. 22PPSCh. 13.3 - Prob. 23PPSCh. 13.3 - Prob. 24PPSCh. 13.3 - Prob. 25PPSCh. 13.3 - Prob. 26PPSCh. 13.3 - Prob. 27PPSCh. 13.3 - Prob. 28PPSCh. 13.3 - Prob. 29PPSCh. 13.3 - Prob. 30PPSCh. 13.3 - Prob. 31PPSCh. 13.3 - Prob. 32PPSCh. 13.3 - Prob. 33PPSCh. 13.3 - Prob. 34HPCh. 13.3 - Prob. 35HPCh. 13.3 - Prob. 36HPCh. 13.3 - Prob. 37HPCh. 13.3 - Prob. 38HPCh. 13.3 - Prob. 39HPCh. 13.3 - Prob. 40STPCh. 13.3 - Prob. 41STPCh. 13.3 - Prob. 42STPCh. 13.3 - Prob. 43STPCh. 13.3 - Prob. 44SPRCh. 13.3 - Prob. 45SPRCh. 13.3 - Prob. 46SPRCh. 13.3 - Prob. 47SPRCh. 13.3 - Prob. 48SPRCh. 13.3 - Prob. 49SPRCh. 13.3 - Prob. 50SPRCh. 13.3 - Prob. 51SRCh. 13.3 - Prob. 52SRCh. 13.3 - Prob. 53SRCh. 13.4 - Prob. 1CYPCh. 13.4 - Prob. 2CYPCh. 13.4 - Prob. 3CYPCh. 13.4 - Prob. 4CYPCh. 13.4 - Prob. 1CYUCh. 13.4 - Prob. 2CYUCh. 13.4 - Prob. 3CYUCh. 13.4 - Prob. 4PPSCh. 13.4 - Prob. 5PPSCh. 13.4 - Prob. 6PPSCh. 13.4 - Prob. 7PPSCh. 13.4 - Prob. 8PPSCh. 13.4 - Prob. 9PPSCh. 13.4 - Prob. 10PPSCh. 13.4 - Prob. 11PPSCh. 13.4 - Prob. 12PPSCh. 13.4 - Prob. 13PPSCh. 13.4 - Prob. 14PPSCh. 13.4 - Prob. 15PPSCh. 13.4 - Prob. 16PPSCh. 13.4 - Prob. 17PPSCh. 13.4 - Prob. 18PPSCh. 13.4 - Prob. 19PPSCh. 13.4 - Prob. 20HPCh. 13.4 - Prob. 21HPCh. 13.4 - Prob. 22HPCh. 13.4 - Prob. 23HPCh. 13.4 - Prob. 24HPCh. 13.4 - Prob. 25HPCh. 13.4 - Prob. 26STPCh. 13.4 - Prob. 27STPCh. 13.4 - Prob. 28STPCh. 13.4 - Prob. 29STPCh. 13.4 - Prob. 30SPRCh. 13.4 - Prob. 31SPRCh. 13.4 - Prob. 32SPRCh. 13.4 - Prob. 33SPRCh. 13.4 - Prob. 34SPRCh. 13.4 - Prob. 35SPRCh. 13.4 - Prob. 36SRCh. 13.5 - Prob. 1ACYPCh. 13.5 - Prob. 1BCYPCh. 13.5 - Prob. 2ACYPCh. 13.5 - Prob. 2BCYPCh. 13.5 - Prob. 3CYPCh. 13.5 - Prob. 4CYPCh. 13.5 - Prob. 1CYUCh. 13.5 - Prob. 2CYUCh. 13.5 - Prob. 3CYUCh. 13.5 - Prob. 4CYUCh. 13.5 - Prob. 5CYUCh. 13.5 - Prob. 6PPSCh. 13.5 - Prob. 7PPSCh. 13.5 - Prob. 8PPSCh. 13.5 - Prob. 9PPSCh. 13.5 - Prob. 10PPSCh. 13.5 - Prob. 11PPSCh. 13.5 - Prob. 12PPSCh. 13.5 - Prob. 13PPSCh. 13.5 - Prob. 14PPSCh. 13.5 - Prob. 15PPSCh. 13.5 - Prob. 16PPSCh. 13.5 - Prob. 17PPSCh. 13.5 - Prob. 18PPSCh. 13.5 - Prob. 19PPSCh. 13.5 - Prob. 20PPSCh. 13.5 - Prob. 21PPSCh. 13.5 - Prob. 22PPSCh. 13.5 - Prob. 23HPCh. 13.5 - Prob. 24HPCh. 13.5 - Prob. 25HPCh. 13.5 - Prob. 26HPCh. 13.5 - Prob. 27HPCh. 13.5 - Prob. 28STPCh. 13.5 - Prob. 29STPCh. 13.5 - Prob. 30STPCh. 13.5 - Prob. 31STPCh. 13.5 - Prob. 32SPRCh. 13.5 - Prob. 33SPRCh. 13.5 - Prob. 34SPRCh. 13.5 - Prob. 35SPRCh. 13.5 - Prob. 36SPRCh. 13.5 - Prob. 37SPRCh. 13.5 - Prob. 38SPRCh. 13.5 - Prob. 39SPRCh. 13.5 - Prob. 40SRCh. 13.5 - Prob. 41SRCh. 13.5 - Prob. 42SRCh. 13.5 - Prob. 43SRCh. 13.6 - Prob. 1ACYPCh. 13.6 - Prob. 1BCYPCh. 13.6 - Prob. 1CCYPCh. 13.6 - Prob. 2ACYPCh. 13.6 - Prob. 2BCYPCh. 13.6 - Prob. 3CYPCh. 13.6 - Prob. 4CYPCh. 13.6 - Prob. 5CYPCh. 13.6 - Prob. 1CYUCh. 13.6 - Prob. 2CYUCh. 13.6 - Prob. 3CYUCh. 13.6 - Prob. 4CYUCh. 13.6 - Prob. 5CYUCh. 13.6 - Prob. 6CYUCh. 13.6 - Prob. 7CYUCh. 13.6 - Prob. 8PPSCh. 13.6 - Prob. 9PPSCh. 13.6 - Prob. 10PPSCh. 13.6 - Prob. 11PPSCh. 13.6 - Prob. 12PPSCh. 13.6 - Prob. 13PPSCh. 13.6 - Prob. 14PPSCh. 13.6 - Prob. 15PPSCh. 13.6 - Prob. 16PPSCh. 13.6 - Prob. 17PPSCh. 13.6 - Prob. 18PPSCh. 13.6 - Prob. 19PPSCh. 13.6 - Prob. 20PPSCh. 13.6 - Prob. 21PPSCh. 13.6 - Prob. 22PPSCh. 13.6 - Prob. 23PPSCh. 13.6 - Prob. 24PPSCh. 13.6 - Prob. 25PPSCh. 13.6 - Prob. 26PPSCh. 13.6 - Prob. 27PPSCh. 13.6 - Prob. 28HPCh. 13.6 - Prob. 29HPCh. 13.6 - Prob. 30HPCh. 13.6 - Prob. 31HPCh. 13.6 - Prob. 32HPCh. 13.6 - Prob. 33HPCh. 13.6 - Prob. 34HPCh. 13.6 - Prob. 35STPCh. 13.6 - Prob. 36STPCh. 13.6 - Prob. 37STPCh. 13.6 - Prob. 38STPCh. 13.6 - Prob. 39SPRCh. 13.6 - Prob. 40SPRCh. 13.6 - Prob. 41SPRCh. 13.6 - Prob. 42SPRCh. 13.6 - Prob. 43SPRCh. 13.6 - Prob. 44SPRCh. 13 - Prob. 1GRFCCh. 13 - Prob. 2GRFCCh. 13 - Prob. 3GRFCCh. 13 - Prob. 4GRFCCh. 13 - Prob. 5GRFCCh. 13 - Prob. 6GRFCCh. 13 - Prob. 7GRFCCh. 13 - Prob. 8GRFCCh. 13 - Prob. 9GRFCCh. 13 - Prob. 10GRFCCh. 13 - Prob. 11GRFCCh. 13 - Prob. 12GRFCCh. 13 - Prob. 13GRFCCh. 13 - Prob. 14GRFCCh. 13 - Prob. 15GRFCCh. 13 - Prob. 1MCQCh. 13 - Prob. 2MCQCh. 13 - Prob. 3MCQCh. 13 - Prob. 4MCQCh. 13 - Prob. 5MCQCh. 13 - Prob. 6MCQCh. 13 - Prob. 7MCQCh. 13 - Prob. 8MCQCh. 13 - Prob. 9MCQCh. 13 - Prob. 10MCQCh. 13 - Prob. 11MCQCh. 13 - Prob. 12MCQCh. 13 - Prob. 13MCQCh. 13 - Prob. 14MCQCh. 13 - Prob. 15MCQCh. 13 - Prob. 16MCQCh. 13 - Prob. 1SGRCh. 13 - Prob. 2SGRCh. 13 - Prob. 3SGRCh. 13 - Prob. 4SGRCh. 13 - Prob. 5SGRCh. 13 - Prob. 6SGRCh. 13 - Prob. 7SGRCh. 13 - Prob. 8SGRCh. 13 - Prob. 9SGRCh. 13 - Prob. 10SGRCh. 13 - Prob. 11SGRCh. 13 - Prob. 12SGRCh. 13 - Prob. 13SGRCh. 13 - Prob. 14SGRCh. 13 - Prob. 15SGRCh. 13 - Prob. 16SGRCh. 13 - Prob. 17SGRCh. 13 - Prob. 18SGRCh. 13 - Prob. 19SGRCh. 13 - Prob. 20SGRCh. 13 - Prob. 21SGRCh. 13 - Prob. 22SGRCh. 13 - Prob. 23SGRCh. 13 - Prob. 24SGRCh. 13 - Prob. 25SGRCh. 13 - Prob. 26SGRCh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Prob. 7PTCh. 13 - Prob. 8PTCh. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 11PTCh. 13 - Prob. 12PTCh. 13 - Prob. 13PTCh. 13 - Prob. 14PTCh. 13 - Prob. 15PTCh. 13 - Prob. 16PTCh. 13 - Prob. 17PTCh. 13 - Prob. 18PTCh. 13 - Prob. 19PTCh. 13 - Prob. 20PTCh. 13 - Prob. 21PTCh. 13 - Prob. 1ECh. 13 - Prob. 2ECh. 13 - Prob. 3ECh. 13 - Prob. 4ECh. 13 - Prob. 1STPCh. 13 - Prob. 2STPCh. 13 - Prob. 3STPCh. 13 - Prob. 4STPCh. 13 - Prob. 5STPCh. 13 - Prob. 6STPCh. 13 - Prob. 7STPCh. 13 - Prob. 8STPCh. 13 - Prob. 9STPCh. 13 - Prob. 10STPCh. 13 - Prob. 11STPCh. 13 - Prob. 12STPCh. 13 - Prob. 13STP

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