Glencoe Math Accelerated, Student Edition
Glencoe Math Accelerated, Student Edition
1st Edition
ISBN: 9780076637980
Author: McGraw-Hill Glencoe
Publisher: MCG
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Concept explainers

Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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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
Check Mark

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) = m×n combinations

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 = 4×5=20 combinations

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

= 20×4=80 combinations

The mistake was that the numbers were added whereas they should have been multiplied.

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Chapter 10.8, Problem 18HP
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Chapter 10.8, Problem 20HP

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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