Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Tahari chooses the color.

Which explains the number of options that she has left after she chooses the color?

A. Tahari has 60 options left because [tex]$4 \times 5 \times 3=60$[/tex].
B. Tahari has 12 options left because she has [tex]$4 \times 3$[/tex] options left.
C. Tahari has 12 options left because [tex]$4+5+3=12$[/tex].
D. Tahari has 7 options left because she has [tex]$4+3$[/tex] options left.



Answer :

Let's break down the problem step-by-step to understand the number of options Tahari has left after choosing the color.

Tahari can choose from:
- 4 brands
- 5 colors
- 3 styles

Since she has already chosen the color, we do not need to consider the color in our remaining options. We are left with the choices for brands and styles.

1. Without considering the color (because it's already chosen), Tahari still has 4 different brands to choose from.
2. She also has 3 styles to choose from.

To find the total number of options left after choosing the color, we multiply the number of available brands by the number of available styles:

[tex]\[ \text{Number of options left} = \text{Number of brands} \times \text{Number of styles} \][/tex]
[tex]\[ \text{Number of options left} = 4 \times 3 \][/tex]
[tex]\[ \text{Number of options left} = 12 \][/tex]

Thus, the correct explanation is:

"Tahari has 12 options left because she has [tex]$4 \times 3$[/tex] options left."

This matches the correct statement from the given choices.