Question

When Jill is purchasing her first new car, she is given a choice of two upholstery materials (cloth or leather) and four colors (black, ivory, grey, and blue). How many different choices does she have?

Answer 1

Jill has 8 different choices for the combination of upholstery material and color for her new car, which are calculated by multiplying 2 material options by 4 color options.

Step-by-step explanation:

To determine how many different choices Jill has for her car's upholstery materials and colors, we simple need to multiply the number of options for each category. Jill has two upholstery material options: cloth or leather. She also has four color options: black, ivory, grey, and blue. The number of different combinations can be found using the basic principle of counting in combinatorics which states that if there are 'm' ways to do one thing, and 'n' ways to do another, then there are m*n ways to do both.

In Jill's case, she has:

• 2 options for materials
• 4 options for colors

Therefore, the total number of different choices Jill has for the car's upholstery material and color combination is:

2 materials × 4 colors = 8 different choices.