Question

1. a video game allows you to create a character by choosing a species (5 options), a weapon (8 options), and a skill set (6 options). how many unique characters are possible?

Explanation:

Step1: Identify the number of options for each category

• Species: 5 options
• Weapon: 8 options
• Skill set: 6 options

Step2: Apply the multiplication principle of counting

To find the total number of unique characters, we multiply the number of options for each category together. The formula for the total number of combinations is:
$$\text{Total combinations} = \text{Number of species options} \times \text{Number of weapon options} \times \text{Number of skill set options}$$
Substituting the given values:
$$\text{Total combinations} = 5 \times 8 \times 6$$

Step3: Calculate the result

First, multiply 5 and 8: $5 \times 8 = 40$
Then, multiply the result by 6: $40 \times 6 = 240$

Answer:

240