Answer: To determine the number of different ways a new car can be ordered with regard to these options, we need to use the multiplication principle of counting, which states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.
In this case, we have 5 options to consider: color, air conditioning, automatic transmission, power windows, and CD player. Let's assume that there are k different options for each of these features. For example, there may be 5 different color options, 2 options for air conditioning, 2 options for automatic transmission, 2 options for power windows, and 2 options for a CD player.
Using the multiplication principle, we can determine the total number of ways a new car can be ordered by multiplying the number of options for each feature together:
Total number of ways = k x k x k x k x k = k^5
Therefore, the total number of different ways a new car can be ordered with regard to these options is equal to k raised to the power of 5. The actual value of k will depend on the number of options available for each feature, but we can use this formula to calculate the total number of possible order combinations.
Explanation: