Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Question
Chapter 13.9, Problem 36HP
To determine
To explain: value of
Expert Solution & Answer
Answer to Problem 36HP
Explanation of Solution
Given information:
Permutation is an arrangement and thus, order is important.
In combination order is important.
Consider the case when repetition is not allowed.
Two roses, one red and other yellow in color.
Holding red rose in left hand and yellow rose in right hand is an arrangement of holding the roses.
So, one permutation.
Other permutation is holding yellow colored rose in left hand and red colored rose in right hand but one red and one yellow irrespective of holding position is combination.
Therefore, the number of permutations is twice as great as the number of combinations.
Also consider the case when repetition is not allowed.
In that case, there is red rose in left hand as well as in right hand.
That gives one permutation and one combination.
That is why, in case when repetition is allowed, the number of permutations and combinations are similar.
Chapter 13 Solutions
Pre-Algebra, Student Edition
Ch. 13.1 - Prob. 1CYPCh. 13.1 - Prob. 2CYPCh. 13.1 - Prob. 3CYPCh. 13.1 - Prob. 4CYPCh. 13.1 - Prob. 1CYUCh. 13.1 - Prob. 2CYUCh. 13.1 - Prob. 3CYUCh. 13.1 - Prob. 4CYUCh. 13.1 - Prob. 5CYUCh. 13.1 - Prob. 6PPS
Ch. 13.1 - Prob. 7PPSCh. 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. 16HPCh. 13.1 - Prob. 17HPCh. 13.1 - Prob. 18HPCh. 13.1 - Prob. 19HPCh. 13.1 - Prob. 20HPCh. 13.1 - Prob. 21HPCh. 13.1 - Prob. 22STPCh. 13.1 - Prob. 23STPCh. 13.1 - Prob. 24STPCh. 13.1 - Prob. 25STPCh. 13.1 - Prob. 26SRCh. 13.1 - Prob. 27SRCh. 13.1 - Prob. 28SRCh. 13.1 - Prob. 29SCh. 13.2 - Prob. 1CYPCh. 13.2 - Prob. 2ACYPCh. 13.2 - Prob. 2BCYPCh. 13.2 - Prob. 3ACYPCh. 13.2 - Prob. 3BCYPCh. 13.2 - Prob. 1CYUCh. 13.2 - Prob. 2CYUCh. 13.2 - Prob. 3CYUCh. 13.2 - Prob. 4CYUCh. 13.2 - Prob. 5PPSCh. 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. 17HPCh. 13.2 - Prob. 18HPCh. 13.2 - Prob. 19HPCh. 13.2 - Prob. 20HPCh. 13.2 - Prob. 21HPCh. 13.2 - Prob. 22STPCh. 13.2 - Prob. 23STPCh. 13.2 - Prob. 24STPCh. 13.2 - Prob. 25STPCh. 13.2 - Prob. 26SRCh. 13.2 - Prob. 27SRCh. 13.2 - Prob. 28SRCh. 13.2 - Prob. 29SRCh. 13.2 - Prob. 30SCh. 13.2 - Prob. 31SCh. 13.2 - Prob. 32SCh. 13.2 - Prob. 33SCh. 13.3 - Prob. 1ACYPCh. 13.3 - Prob. 1BCYPCh. 13.3 - Prob. 2CYPCh. 13.3 - Prob. 3CYPCh. 13.3 - Prob. 4CYPCh. 13.3 - Prob. 5CYPCh. 13.3 - Prob. 1CYUCh. 13.3 - Prob. 2CYUCh. 13.3 - Prob. 3CYUCh. 13.3 - Prob. 4PPSCh. 13.3 - Prob. 5PPSCh. 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. 12HPCh. 13.3 - Prob. 13HPCh. 13.3 - Prob. 14HPCh. 13.3 - Prob. 15HPCh. 13.3 - Prob. 16HPCh. 13.3 - Prob. 17STPCh. 13.3 - Prob. 18STPCh. 13.3 - Prob. 19STPCh. 13.3 - Prob. 20STPCh. 13.3 - Prob. 21SRCh. 13.3 - Prob. 22SRCh. 13.3 - Prob. 23SRCh. 13.3 - Prob. 24SRCh. 13.3 - Prob. 25SRCh. 13.3 - Prob. 26SRCh. 13.3 - Prob. 27SRCh. 13.3 - Prob. 28SCh. 13.3 - Prob. 29SCh. 13.4 - Prob. 1CYPCh. 13.4 - Prob. 2CYPCh. 13.4 - Prob. 3CYPCh. 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. 13HPCh. 13.4 - Prob. 14HPCh. 13.4 - Prob. 15HPCh. 13.4 - Prob. 16HPCh. 13.4 - Prob. 17STPCh. 13.4 - Prob. 18STPCh. 13.4 - Prob. 19STPCh. 13.4 - Prob. 20STPCh. 13.4 - Prob. 21SRCh. 13.4 - Prob. 22SCh. 13.5 - Prob. 1CYPCh. 13.5 - Prob. 2CYPCh. 13.5 - Prob. 1CYUCh. 13.5 - Prob. 2CYUCh. 13.5 - Prob. 3CYUCh. 13.5 - Prob. 4CYUCh. 13.5 - Prob. 5PPSCh. 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. 12HPCh. 13.5 - Prob. 13HPCh. 13.5 - Prob. 14HPCh. 13.5 - Prob. 15HPCh. 13.5 - Prob. 16HPCh. 13.5 - Prob. 17STPCh. 13.5 - Prob. 18STPCh. 13.5 - Prob. 19STPCh. 13.5 - Prob. 20STPCh. 13.5 - Prob. 21SRCh. 13.5 - Prob. 22SRCh. 13.5 - Prob. 23SCh. 13.5 - Prob. 24SCh. 13.5 - Prob. 25SCh. 13.6 - Prob. 1CYPCh. 13.6 - Prob. 2CYPCh. 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. 8CYUCh. 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. 22HPCh. 13.6 - Prob. 23HPCh. 13.6 - Prob. 24HPCh. 13.6 - Prob. 25HPCh. 13.6 - Prob. 26STPCh. 13.6 - Prob. 27STPCh. 13.6 - Prob. 28STPCh. 13.6 - Prob. 29STPCh. 13.6 - Prob. 30SRCh. 13.6 - Prob. 31SRCh. 13.6 - Prob. 32SCh. 13.6 - Prob. 33SCh. 13.6 - Prob. 34SCh. 13.6 - Prob. 35SCh. 13.7 - Prob. 1CYPCh. 13.7 - Prob. 2CYPCh. 13.7 - Prob. 3CYPCh. 13.7 - Prob. 1CYUCh. 13.7 - Prob. 2CYUCh. 13.7 - Prob. 3CYUCh. 13.7 - Prob. 4CYUCh. 13.7 - Prob. 5PPSCh. 13.7 - Prob. 6PPSCh. 13.7 - Prob. 7PPSCh. 13.7 - Prob. 8PPSCh. 13.7 - Prob. 9PPSCh. 13.7 - Prob. 10PPSCh. 13.7 - Prob. 11PPSCh. 13.7 - Prob. 12PPSCh. 13.7 - Prob. 13PPSCh. 13.7 - Prob. 14PPSCh. 13.7 - Prob. 15PPSCh. 13.7 - Prob. 16PPSCh. 13.7 - Prob. 17HPCh. 13.7 - Prob. 18HPCh. 13.7 - Prob. 19HPCh. 13.7 - Prob. 20HPCh. 13.7 - Prob. 21STPCh. 13.7 - Prob. 22STPCh. 13.7 - Prob. 23STPCh. 13.7 - Prob. 24STPCh. 13.7 - Prob. 25SRCh. 13.7 - Prob. 26SRCh. 13.7 - Prob. 27SRCh. 13.7 - Prob. 28SRCh. 13.7 - Prob. 29SRCh. 13.7 - Prob. 30SRCh. 13.7 - Prob. 31SCh. 13.7 - Prob. 32SCh. 13.7 - Prob. 33SCh. 13.7 - Prob. 34SCh. 13.8 - Prob. 1CYPCh. 13.8 - Prob. 2CYPCh. 13.8 - Prob. 3CYPCh. 13.8 - Prob. 4CYPCh. 13.8 - Prob. 1CYUCh. 13.8 - Prob. 2CYUCh. 13.8 - Prob. 3CYUCh. 13.8 - Prob. 4CYUCh. 13.8 - Prob. 5CYUCh. 13.8 - Prob. 6PPSCh. 13.8 - Prob. 7PPSCh. 13.8 - Prob. 8PPSCh. 13.8 - Prob. 9PPSCh. 13.8 - Prob. 10PPSCh. 13.8 - Prob. 11PPSCh. 13.8 - Prob. 12PPSCh. 13.8 - Prob. 13PPSCh. 13.8 - Prob. 14PPSCh. 13.8 - Prob. 15PPSCh. 13.8 - Prob. 16HPCh. 13.8 - Prob. 17HPCh. 13.8 - Prob. 18HPCh. 13.8 - Prob. 19HPCh. 13.8 - Prob. 20HPCh. 13.8 - Prob. 21STPCh. 13.8 - Prob. 22STPCh. 13.8 - Prob. 23STPCh. 13.8 - Prob. 24STPCh. 13.8 - Prob. 25SRCh. 13.8 - Prob. 26SRCh. 13.8 - Prob. 27SRCh. 13.8 - Prob. 28SRCh. 13.8 - Prob. 29SCh. 13.8 - Prob. 30SCh. 13.8 - Prob. 31SCh. 13.8 - Prob. 32SCh. 13.9 - Prob. 1ACYPCh. 13.9 - Prob. 1BCYPCh. 13.9 - Prob. 2CYPCh. 13.9 - Prob. 3ACYPCh. 13.9 - Prob. 3BCYPCh. 13.9 - Prob. 4CYPCh. 13.9 - Prob. 1CYUCh. 13.9 - Prob. 2CYUCh. 13.9 - Prob. 3CYUCh. 13.9 - Prob. 4CYUCh. 13.9 - Prob. 5PPSCh. 13.9 - Prob. 6PPSCh. 13.9 - Prob. 7PPSCh. 13.9 - Prob. 8PPSCh. 13.9 - Prob. 9PPSCh. 13.9 - Prob. 10PPSCh. 13.9 - Prob. 11PPSCh. 13.9 - Prob. 12PPSCh. 13.9 - Prob. 13PPSCh. 13.9 - Prob. 14PPSCh. 13.9 - Prob. 15PPSCh. 13.9 - Prob. 16PPSCh. 13.9 - Prob. 17PPSCh. 13.9 - Prob. 18PPSCh. 13.9 - Prob. 19PPSCh. 13.9 - Prob. 20PPSCh. 13.9 - Prob. 21PPSCh. 13.9 - Prob. 22PPSCh. 13.9 - Prob. 23PPSCh. 13.9 - Prob. 24PPSCh. 13.9 - Prob. 25PPSCh. 13.9 - Prob. 26PPSCh. 13.9 - Prob. 27PPSCh. 13.9 - Prob. 28PPSCh. 13.9 - Prob. 29PPSCh. 13.9 - Prob. 30PPSCh. 13.9 - Prob. 31PPSCh. 13.9 - Prob. 32PPSCh. 13.9 - Prob. 33HPCh. 13.9 - Prob. 34HPCh. 13.9 - Prob. 35HPCh. 13.9 - Prob. 36HPCh. 13.9 - Prob. 37HPCh. 13.9 - Prob. 38STPCh. 13.9 - Prob. 39STPCh. 13.9 - Prob. 40STPCh. 13.9 - Prob. 41STPCh. 13.9 - Prob. 42SRCh. 13.9 - Prob. 43SRCh. 13.9 - Prob. 44SRCh. 13.9 - Prob. 45SRCh. 13.9 - Prob. 46SRCh. 13.9 - Prob. 47SRCh. 13.9 - Prob. 48SRCh. 13.9 - Prob. 49SCh. 13.9 - Prob. 50SCh. 13.9 - Prob. 51SCh. 13.9 - Prob. 52SCh. 13.10 - Prob. 1ACYPCh. 13.10 - Prob. 1BCYPCh. 13.10 - Prob. 2ACYPCh. 13.10 - Prob. 2BCYPCh. 13.10 - Prob. 3CYPCh. 13.10 - Prob. 1CYUCh. 13.10 - Prob. 2CYUCh. 13.10 - Prob. 3CYUCh. 13.10 - Prob. 4CYUCh. 13.10 - Prob. 5PPSCh. 13.10 - Prob. 6PPSCh. 13.10 - Prob. 7PPSCh. 13.10 - Prob. 8PPSCh. 13.10 - Prob. 9PPSCh. 13.10 - Prob. 10PPSCh. 13.10 - Prob. 11PPSCh. 13.10 - Prob. 12PPSCh. 13.10 - Prob. 13PPSCh. 13.10 - Prob. 14PPSCh. 13.10 - Prob. 15PPSCh. 13.10 - Prob. 16PPSCh. 13.10 - Prob. 17PPSCh. 13.10 - Prob. 18PPSCh. 13.10 - Prob. 19PPSCh. 13.10 - Prob. 20PPSCh. 13.10 - Prob. 21PPSCh. 13.10 - Prob. 22PPSCh. 13.10 - Prob. 23PPSCh. 13.10 - Prob. 24PPSCh. 13.10 - Prob. 25PPSCh. 13.10 - Prob. 26HPCh. 13.10 - Prob. 27HPCh. 13.10 - Prob. 28HPCh. 13.10 - Prob. 29HPCh. 13.10 - Prob. 30HPCh. 13.10 - Prob. 31STPCh. 13.10 - Prob. 32STPCh. 13.10 - Prob. 33STPCh. 13.10 - Prob. 34STPCh. 13.10 - Prob. 35SRCh. 13.10 - Prob. 36SRCh. 13.10 - Prob. 37SRCh. 13.10 - Prob. 38SRCh. 13.10 - Prob. 39SRCh. 13.10 - Prob. 40SRCh. 13 - Prob. 1QCCh. 13 - Prob. 2QCCh. 13 - Prob. 3QCCh. 13 - Prob. 4QCCh. 13 - Prob. 5QCCh. 13 - Prob. 6QCCh. 13 - Prob. 7QCCh. 13 - Prob. 8QCCh. 13 - Prob. 9QCCh. 13 - Prob. 10QCCh. 13 - Prob. 11QCCh. 13 - Prob. 12QCCh. 13 - Prob. 13QCCh. 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. 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. 27SGRCh. 13 - Prob. 28SGRCh. 13 - Prob. 29SGRCh. 13 - Prob. 30SGRCh. 13 - Prob. 31SGRCh. 13 - Prob. 32SGRCh. 13 - Prob. 33SGRCh. 13 - Prob. 34SGRCh. 13 - Prob. 35SGRCh. 13 - Prob. 36SGRCh. 13 - Prob. 37SGRCh. 13 - Prob. 38SGRCh. 13 - Prob. 39SGRCh. 13 - Prob. 40SGRCh. 13 - Prob. 41SGRCh. 13 - Prob. 42SGRCh. 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. 1ECh. 13 - Prob. 2ECh. 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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