Answer:
Sample response: The Smith family has 2 choices to make, color
and style. By the fundamental counting principle, the product of the
number of choices of color and style must equal 8. So, there could be 1
color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles,
or 8 colors and 1 style.
Step-by-step explanation:
The smith can have 1 style and 8 colors, 2 styles and 4 colors, 4 styles and 2 colors, and 8 styles and 1 color.
A permutation can be defined as the number of ways a set can be arranged, order matters but in combination, the order does not matter.
We have:
Smith family is shopping for a new car and they are basing their decision on color and style.
The total possible outcomes = 8
By the principle of counting the smith family has four choices.
The above are the factors of 8 because smith has a total number of 8 possible outcomes.
Thus, the smith can have 1 style and 8 colors, 2 styles and 4 colors, 4 styles and 2 colors, and 8 styles and 1 color.
Learn more about permutation and combination here:
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