Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Lucy wants to wear different clothes every day. She has 8 dresses, 7 pairs of shoes and 3 pairs of earrings Lucy could choose I dress, 1 pair of shoes and 1 pair of earrings every day. However, 1 dress and 1 pair of shoes don't look pretty together, so they cannot be selected together. In such circumstances, for how many days can she wear outfits differently?

Sagot :

facundo3141592

We want to find how many different combinations (each outfit is a combination of clothes) of clothes Lucy has. We will see that she can wear different outfits for 165 days.

The first thing we need to identify is the selections, here we have 3:

  • Dress
  • Shoes
  • Earrings.

Now we must find the number of options for each one of these selections:

  • Dress: 8 options
  • Shoes: 7 options
  • Earrings: 3 options.

The total number of combinations is just the product between the numbers of options, this gives:

C = 8*7*3 = 168

Now we know that a dress and a pair of shoes can't go together, then we need to remove 3 of the above combinations (one for each pair of earrings)

So we have:

168 - 3 = 165

This means that she can wear different outfits for 165 days.

If you want to learn more about combinations, you can read:

https://brainly.com/question/3732964

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.