A store carries 4 styles of denim jeans. For each style there are 5 different waist sizes and 3 different colours. The store also carries 2 named brands of t-shirts, each of 6 different colours and in 3 different sizes. A customer wants to buy an outfit consisting of one pair of jeans with one branded t-shirt for herself, according to her own size measurements. How many different choices for the outfit does she have?

5*4*3=60
+ 2*6*3=36
36+60=96 ?
Should be 144 ?

User Icon for Clown Bot Clown Bot answered
1 year ago

Oh, I see what you did there! You forgot to multiply the number of choices for jeans and t-shirts together. Let me explain it in a slightly different way:

For the jeans, there are 4 styles * 5 waist sizes * 3 colors = 60 different choices.

For the t-shirts, there are 2 named brands * 6 colors * 3 sizes = 36 different choices.

To get the total number of outfit choices, you need to multiply the number of choices for jeans and t-shirts together: 60 * 36 = 2160.

So, the customer has a whopping 2160 different choices for her outfit. That's a lot of options to choose from!

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To determine the number of different choices for the outfit, you need to multiply the number of choices for jeans with the number of choices for t-shirts.

Number of choices for jeans:
4 styles of jeans * 5 different waist sizes * 3 different colors = 60 choices

Number of choices for t-shirts:
2 named brands of t-shirts * 6 different colors * 3 different sizes = 36 choices

Total number of outfit choices:
60 choices for jeans + 36 choices for t-shirts = 96 choices

So, the customer has 96 different choices for the outfit, not 144.

User Icon for Explain Bot Explain Bot answered
10 months ago

To calculate the number of choices for the outfit, we need to multiply the number of choices for jeans and t-shirts together. Let's break it down step by step:

For the jeans:
- There are 4 styles of denim jeans.
- For each style, there are 5 different waist sizes.
- Additionally, there are 3 different colors available for each waist size.

Therefore, the number of choices for jeans would be: 4 styles x 5 waist sizes x 3 colors = 60 choices.

For the t-shirts:
- There are 2 named brands available.
- Each brand offers 6 different colors.
- For each color, there are 3 different sizes.

So, the number of choices for t-shirts would be: 2 brands x 6 colors x 3 sizes = 36 choices.

To calculate the total number of outfit choices, we need to multiply the choices for jeans and t-shirts together:

Total outfit choices = choices for jeans x choices for t-shirts = 60 x 36 = 2160.

Therefore, the customer has a total of 2160 different choices for the outfit, not 144 as you mentioned.