Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Question
Chapter 10.8, Problem 19HP
To determine
To find: The mistake done in calculating the number of different outfit combinations and the correct answer.
Expert Solution & Answer
Answer to Problem 19HP
The total number of outfits is calculated by multiplying the numbers, not by adding them. The correct number of outfits is 80.
Explanation of Solution
Given: There are 4 pairs of shoes, 4 pairs of pants and 5 shirts to choose from.
Concepts Used: Consider m number of distinct items that can be matched up with another set containingn distinct items. Then the first item from the first group can be matched with any one of the n number of items in the second group which gives a total of n combinations. Similarly, for the second item in the first group there are n different combinations and so on. Hence the total number of combinations for mitemswith n itemswill be
= n+ n +n +n + … (m times) =
Calculations: Let’s first find the combinations of clothes from the given number of shirts and pants. Then each outfit combination can be matched with a distinct shoe pair to give the total number of outfit combinations.
There are 4 pairs of pants and 5 shirts. Total combination of outfits if chosen from the shirt and pants is =
These 20 combinations of outfits can then be matched with any one of the 4 pairs of shoes. Thus, total possible combination of outfits of shirts, pant and shoes is
=
The mistake was that the numbers were added whereas they should have been multiplied.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
Ch. 10.1 - Prob. 1GPCh. 10.1 - Prob. 2GPCh. 10.1 - Prob. 3GPCh. 10.1 - Prob. 4GPCh. 10.1 - Prob. 5GPCh. 10.1 - Prob. 6IPCh. 10.1 - Prob. 7IPCh. 10.1 - Prob. 8IPCh. 10.1 - Prob. 9IPCh. 10.1 - Prob. 10IP
Ch. 10.1 - Prob. 11IPCh. 10.1 - Prob. 12IPCh. 10.1 - Prob. 13IPCh. 10.1 - Prob. 14IPCh. 10.1 - Prob. 15IPCh. 10.1 - Prob. 16HPCh. 10.1 - Prob. 17HPCh. 10.1 - Prob. 18HPCh. 10.1 - Prob. 19HPCh. 10.1 - Prob. 20HPCh. 10.1 - Prob. 21HPCh. 10.1 - Prob. 22STPCh. 10.1 - Prob. 23STPCh. 10.1 - Prob. 24STPCh. 10.1 - Prob. 25STPCh. 10.1 - Prob. 26CCRCh. 10.1 - Prob. 27CCRCh. 10.1 - Prob. 28CCRCh. 10.1 - Prob. 29CCRCh. 10.1 - Prob. 30CCRCh. 10.1 - Prob. 31CCRCh. 10.1 - Prob. 32CCRCh. 10.1 - Prob. 33CCRCh. 10.1 - Prob. 34CCRCh. 10.1 - Prob. 35CCRCh. 10.2 - Prob. 1GPCh. 10.2 - Prob. 2GPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4IPCh. 10.2 - Prob. 5IPCh. 10.2 - Prob. 6IPCh. 10.2 - Prob. 7IPCh. 10.2 - Prob. 8IPCh. 10.2 - Prob. 9IPCh. 10.2 - Prob. 10IPCh. 10.2 - Prob. 11IPCh. 10.2 - Prob. 12HPCh. 10.2 - Prob. 13HPCh. 10.2 - Prob. 14HPCh. 10.2 - Prob. 15HPCh. 10.2 - Prob. 16HPCh. 10.2 - Prob. 17HPCh. 10.2 - Prob. 18STPCh. 10.2 - Prob. 19STPCh. 10.2 - Prob. 20STPCh. 10.2 - Prob. 21STPCh. 10.2 - Prob. 22CCRCh. 10.2 - Prob. 23CCRCh. 10.2 - Prob. 24CCRCh. 10.2 - Prob. 25CCRCh. 10.2 - Prob. 26CCRCh. 10.2 - Prob. 27CCRCh. 10.2 - Prob. 28CCRCh. 10.2 - Prob. 29CCRCh. 10.2 - Prob. 30CCRCh. 10.2 - Prob. 31CCRCh. 10.2 - Prob. 32CCRCh. 10.2 - Prob. 33CCRCh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2GPCh. 10.3 - Prob. 3IPCh. 10.3 - Prob. 4IPCh. 10.3 - Prob. 5IPCh. 10.3 - Prob. 6IPCh. 10.3 - Prob. 7IPCh. 10.3 - Prob. 8IPCh. 10.3 - Prob. 9IPCh. 10.3 - Prob. 10IPCh. 10.3 - Prob. 11HPCh. 10.3 - Prob. 12HPCh. 10.3 - Prob. 13HPCh. 10.3 - Prob. 14HPCh. 10.3 - Prob. 15STPCh. 10.3 - Prob. 16STPCh. 10.3 - Prob. 17STPCh. 10.3 - Prob. 18STPCh. 10.3 - Prob. 19CCRCh. 10.3 - Prob. 20CCRCh. 10.3 - Prob. 21CCRCh. 10.3 - Prob. 22CCRCh. 10.3 - Prob. 23CCRCh. 10.3 - Prob. 24CCRCh. 10.3 - Prob. 25CCRCh. 10.4 - Prob. 1GPCh. 10.4 - Prob. 2GPCh. 10.4 - Prob. 3IPCh. 10.4 - Prob. 4IPCh. 10.4 - Prob. 5IPCh. 10.4 - Prob. 6IPCh. 10.4 - Prob. 7IPCh. 10.4 - Prob. 8IPCh. 10.4 - Prob. 9IPCh. 10.4 - Prob. 10IPCh. 10.4 - Prob. 11HPCh. 10.4 - Prob. 12HPCh. 10.4 - Prob. 13HPCh. 10.4 - Prob. 14HPCh. 10.4 - Prob. 15STPCh. 10.4 - Prob. 16STPCh. 10.4 - Prob. 17CCRCh. 10.4 - Prob. 18CCRCh. 10.4 - Prob. 19CCRCh. 10.4 - Prob. 20CCRCh. 10.4 - Prob. 21CCRCh. 10.4 - Prob. 22CCRCh. 10.4 - Prob. 23CCRCh. 10.4 - Prob. 24CCRCh. 10.4 - Prob. 25CCRCh. 10.4 - Prob. 26CCRCh. 10.4 - Prob. 27CCRCh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2GPCh. 10.5 - Prob. 3GPCh. 10.5 - Prob. 4GPCh. 10.5 - Prob. 5IPCh. 10.5 - Prob. 6IPCh. 10.5 - Prob. 7IPCh. 10.5 - Prob. 8IPCh. 10.5 - Prob. 9IPCh. 10.5 - Prob. 10IPCh. 10.5 - Prob. 11IPCh. 10.5 - Prob. 12IPCh. 10.5 - Prob. 13IPCh. 10.5 - Prob. 14IPCh. 10.5 - Prob. 15IPCh. 10.5 - Prob. 16IPCh. 10.5 - Prob. 17HPCh. 10.5 - Prob. 18HPCh. 10.5 - Prob. 19HPCh. 10.5 - Prob. 20HPCh. 10.5 - Prob. 21STPCh. 10.5 - Prob. 22STPCh. 10.5 - Prob. 23STPCh. 10.5 - Prob. 24STPCh. 10.5 - Prob. 25CCRCh. 10.5 - Prob. 26CCRCh. 10.5 - Prob. 27CCRCh. 10.5 - Prob. 28CCRCh. 10.5 - Prob. 29CCRCh. 10.5 - Prob. 30CCRCh. 10.5 - Prob. 31CCRCh. 10.5 - Prob. 32CCRCh. 10.5 - Prob. 33CCRCh. 10.5 - Prob. 34CCRCh. 10.5 - Prob. 35CCRCh. 10.6 - Prob. 1GPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3GPCh. 10.6 - Prob. 4GPCh. 10.6 - Prob. 5GPCh. 10.6 - Prob. 6GPCh. 10.6 - Prob. 7GPCh. 10.6 - Prob. 8GPCh. 10.6 - Prob. 9GPCh. 10.6 - Prob. 10GPCh. 10.6 - Prob. 11GPCh. 10.6 - Prob. 12IPCh. 10.6 - Prob. 13IPCh. 10.6 - Prob. 14IPCh. 10.6 - Prob. 15IPCh. 10.6 - Prob. 16IPCh. 10.6 - Prob. 17IPCh. 10.6 - Prob. 18IPCh. 10.6 - Prob. 19IPCh. 10.6 - Prob. 20IPCh. 10.6 - Prob. 21IPCh. 10.6 - Prob. 22IPCh. 10.6 - Prob. 23IPCh. 10.6 - Prob. 24IPCh. 10.6 - Prob. 25IPCh. 10.6 - Prob. 26IPCh. 10.6 - Prob. 27IPCh. 10.6 - Prob. 28IPCh. 10.6 - Prob. 29IPCh. 10.6 - Prob. 30IPCh. 10.6 - Prob. 31IPCh. 10.6 - Prob. 32IPCh. 10.6 - Prob. 33IPCh. 10.6 - Prob. 34IPCh. 10.6 - Prob. 35IPCh. 10.6 - Prob. 36IPCh. 10.6 - Prob. 37IPCh. 10.6 - Prob. 38IPCh. 10.6 - Prob. 39IPCh. 10.6 - Prob. 40IPCh. 10.6 - Prob. 41HPCh. 10.6 - Prob. 42HPCh. 10.6 - Prob. 43HPCh. 10.6 - Prob. 44HPCh. 10.6 - Prob. 45STPCh. 10.6 - Prob. 46STPCh. 10.6 - Prob. 47STPCh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49CCRCh. 10.6 - Prob. 50CCRCh. 10.6 - Prob. 51CCRCh. 10.6 - Prob. 52CCRCh. 10.6 - Prob. 53CCRCh. 10.6 - Prob. 54CCRCh. 10.6 - Prob. 55CCRCh. 10.6 - Prob. 56CCRCh. 10.6 - Prob. 57CCRCh. 10.6 - Prob. 58CCRCh. 10.6 - Prob. 59CCRCh. 10.7 - Prob. 1GPCh. 10.7 - Prob. 2GPCh. 10.7 - Prob. 3GPCh. 10.7 - Prob. 4GPCh. 10.7 - Prob. 5IPCh. 10.7 - Prob. 6IPCh. 10.7 - Prob. 7IPCh. 10.7 - Prob. 8IPCh. 10.7 - Prob. 9IPCh. 10.7 - Prob. 10IPCh. 10.7 - Prob. 11IPCh. 10.7 - Prob. 12IPCh. 10.7 - Prob. 13IPCh. 10.7 - Prob. 14IPCh. 10.7 - Prob. 15HPCh. 10.7 - Prob. 16HPCh. 10.7 - Prob. 17HPCh. 10.7 - Prob. 18STPCh. 10.7 - Prob. 19STPCh. 10.7 - Prob. 20STPCh. 10.7 - Prob. 21STPCh. 10.7 - Prob. 22CCRCh. 10.7 - Prob. 23CCRCh. 10.7 - Prob. 24CCRCh. 10.7 - Prob. 25CCRCh. 10.7 - Prob. 26CCRCh. 10.7 - Prob. 27CCRCh. 10.7 - Prob. 28CCRCh. 10.7 - Prob. 29CCRCh. 10.7 - Prob. 30CCRCh. 10.7 - Prob. 31CCRCh. 10.7 - Prob. 32CCRCh. 10.7 - Prob. 33CCRCh. 10.7 - Prob. 34CCRCh. 10.7 - Prob. 35CCRCh. 10.7 - Prob. 36CCRCh. 10.7 - Prob. 37CCRCh. 10.7 - Prob. 38CCRCh. 10.8 - Prob. 1GPCh. 10.8 - Prob. 2GPCh. 10.8 - Prob. 3GPCh. 10.8 - Prob. 4GPCh. 10.8 - Prob. 5GPCh. 10.8 - Prob. 6IPCh. 10.8 - Prob. 7IPCh. 10.8 - Prob. 8IPCh. 10.8 - Prob. 9IPCh. 10.8 - Prob. 10IPCh. 10.8 - Prob. 11IPCh. 10.8 - Prob. 12IPCh. 10.8 - Prob. 13IPCh. 10.8 - Prob. 14IPCh. 10.8 - Prob. 15IPCh. 10.8 - Prob. 16IPCh. 10.8 - Prob. 17IPCh. 10.8 - Prob. 18HPCh. 10.8 - Prob. 19HPCh. 10.8 - Prob. 20HPCh. 10.8 - Prob. 21HPCh. 10.8 - Prob. 22HPCh. 10.8 - Prob. 23STPCh. 10.8 - Prob. 24STPCh. 10.8 - Prob. 25STPCh. 10.8 - Prob. 26STPCh. 10.8 - Prob. 27CCRCh. 10.8 - Prob. 28CCRCh. 10.8 - Prob. 29CCRCh. 10.8 - Prob. 30CCRCh. 10.8 - Prob. 31CCRCh. 10.8 - Prob. 32CCRCh. 10.8 - Prob. 33CCRCh. 10.8 - Prob. 34CCRCh. 10.8 - Prob. 35CCRCh. 10.8 - Prob. 36CCRCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - Prob. 3CRCh. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Prob. 11CRCh. 10 - Prob. 12CRCh. 10 - Prob. 13CRCh. 10 - Prob. 14CRCh. 10 - Prob. 15CRCh. 10 - Prob. 16CRCh. 10 - Prob. 17CRCh. 10 - Prob. 18CRCh. 10 - Prob. 19CRCh. 10 - Prob. 20CRCh. 10 - Prob. 21CRCh. 10 - Prob. 22CRCh. 10 - Prob. 23CRCh. 10 - Prob. 24CRCh. 10 - Prob. 25CRCh. 10 - Prob. 26CRCh. 10 - Prob. 27CRCh. 10 - Prob. 28CRCh. 10 - Prob. 29CRCh. 10 - Prob. 30CR
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