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A tree diagram with 30 outcomes.

The Roberts family is shopping for a new car. They are considering a minivan or an SUV. Those vehicles come in red, gold, green, silver, or blue. Each vehicle has three models; standard (S), sport (P), or luxury (L). Use the tree diagram to answer the question.

How many choices does the family have?

1 answer

To find the total number of choices the Roberts family has for a new car, we can consider the different categories that affect their decision:

  1. Type of Vehicle: There are 2 options (Minivan or SUV).
  2. Color: There are 5 color options (Red, Gold, Green, Silver, Blue).
  3. Model: There are 3 models (Standard (S), Sport (P), Luxury (L)).

To determine the total number of combinations, we can multiply the number of choices in each category:

\[ \text{Total choices} = (\text{Number of vehicle types}) \times (\text{Number of colors}) \times (\text{Number of models}) \]

Now, plugging in the numbers:

\[ \text{Total choices} = 2 \text{ (types of vehicles)} \times 5 \text{ (colors)} \times 3 \text{ (models)} = 2 \times 5 \times 3 = 30 \]

Therefore, the family has 30 choices for their new car.