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?

Tahari has 60 options left because mc020-1.jpg.
Tahari has 12 options left because she has mc020-2.jpg options left.
Tahari has 12 options left because mc020-3.jpg.
Tahari has 7 options left because she has mc020-4.jpg options left.

1 answer

To determine how many options Tahari has left after choosing the color, we need to consider the total options available to her initially.

Initially, Tahari has:

  • 4 brands to choose from,
  • 5 colors to choose from,
  • 3 styles to choose from.

The total number of combinations can be calculated by multiplying the number of options in each category:

\[ \text{Total options} = \text{Number of brands} \times \text{Number of colors} \times \text{Number of styles} \] \[ \text{Total options} = 4 \text{ brands} \times 5 \text{ colors} \times 3 \text{ styles} = 60 \text{ total options} \]

After Tahari chooses a color, she will have:

  • 4 brands available,
  • 1 color (the one she chose),
  • 3 styles available.

Now, we calculate her remaining options based on the available choices:

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

Thus, the correct statement is: Tahari has 12 options left because she has mc020-2.jpg options left.