(a)
To calculate: The number of arrangements of four tires on a car.
The number of arrangements of four tires on a car is 24.
Given:
Total number of tires on a car
Concept used:
The number of arrangements of r objects from a total of n objects, when order of the arrangement matters is calculated using permutations
Calculation:
The total number of tires on a car
The total number of tires to be arranged
The total number of ways four car tires can be arranged on a car is calculated as shown below
The number of ways four tires can be arranged on a car is 24.
(b)
To calculate: The number of arrangements of four tires on a car when a spare tire is included.
The number of arrangements of four tires on a car when a spare tire is included is 120.
Given:
Total number of tires on a car including spare tire
Calculation:
The total number of tires on a car including spare tire
The total number of tires to be arranged
The total number of ways four car tires can be arranged on a car is calculated as shown below:
The number of ways four tires can be arranged on a car when spare tire is included is 120.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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