Ferguson has 8 hats, 6 shirts, and 4 pairs of pants. How many days can he dress up without repeating the same combination? | Homework.Study.com (2024)

Question:

Ferguson has 8 hats, 6 shirts, and 4 pairs of pants.

How many days can he dress up without repeating the same combination?

Fundamental Principle of Counting

The Fundamental Principle of Counting is a principle that can be used to determine the number of unique combinations that can be made from two or more sets. If we have {eq}m{/eq} number of items in one set and {eq}n{/eq} number of items in another, then the number of unique combinations that can be made by taking one item from each set would be {eq}m \times n{/eq}.

Answer and Explanation:1

Become a Study.com member to unlock this answer!Createyouraccount

View this answer

Each unique dress-up will be a combination of 1 hat, 1 shirt, and 1 pair of pants. We assume that the person dresses up only once a day. We know that...

See full answer below.

Ferguson has 8 hats, 6 shirts, and 4 pairs of pants.  How many days can he dress up without repeating the same combination? | Homework.Study.com (2024)

FAQs

How many combinations of 5 shirts and 4 pants are there? ›

If you have 5 shirts, and 4 pants, you have 5×4=20 5 × 4 = 20 possible clothing combinations. Thats the answer. 5 shirts, 4 pairs of pants ; different outfits ?

How many different combinations of outfits are possible from a wardrobe that contains 3 shirts, 4 pants, and 5 pairs of shoes? ›

Now, let's apply this principle : You have 3 shirts, 4 pairs of pants, and 5 pairs of shoes. So, we multiply the number of each type of clothing: The number of outfit combinations would be 3 (shirts) * 4 (pants) * 5 (shoes) = 60 outfits. It means that you can create 60 unique outfits from these articles of clothing.

How many ways can you dress if you have 3 pants and 4 shirts? ›

Jack would have 12 different outfits of clothes.

How do you calculate clothing combinations? ›

An “outfit” consists of one top plus one bottom. Since every top can be worn with every bottom, the tops multiplied by the bottom gives us the number of outfit options. Dresses are generally not worn with tops or bottoms and therefore they are added after the multiplication has taken place.

How many outfits are possible with 5 pairs of jeans 8 tshirts and 2 pairs of shoes? ›

Solution, The person has a total number of 80 outfits.

How many combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of shoes? ›

Answer. Therefore, there are 72 possible outfit combinations from these items.

Has 12 t shirts six pairs of pants and three pairs of shoes how many possibilities can he dress himself up for the day? ›

Expert-Verified Answer

The answer to this question is 216.

How many combinations can be made with 3 shirts 2 pants and 5 shoes? ›

There are five pairs of shoes. Each pair of shoes has each of the six combinations of pants and shirts. Since there are five pair of shoes there are 30 combinations of shirts, pants and shoes.

How many different outfits can you make from 7 T-shirts, 4 pairs of jeans, and 3 pairs of shoes? ›

Thus To find the number of different outfits a student can make from 7 T-shirts, 4 pairs of jeans, and 3 pairs of shoes, multiply the number of choices for each clothing item together, resulting in 84 different outfits.

Can you wear jeans 3 times? ›

A good rule of thumb is to wash your jeans after every 3-10 wears, or when they start to smell. If you're regularly active in your jeans (think: manual work, anything where you work up a sweat), wash them every 3 wears, but if you're working at a desk, you can probably go through multiple wears without washing.

What is a 3 4 pants? ›

Capri pants (also known as three quarter legs, or capris, crop pants, man-pris, clam-diggers, flood pants, ankle pants, jams, highwaters, or toreador pants) are pants that are longer than shorts, but are not as long as trousers.

How many combinations of 5 pairs of socks and 4 pairs of shoes? ›

So, Josh has 5 choices for socks and 4 choices for shoes. To find the total number of combinations, we multiply these choices together, giving us 5 * 4 = 20 possible combinations. That means there are 20 different outfits Josh can wear based on his socks and shoes selection.

What size pants should a 5 4 person wear? ›

Pant Size Guide
HeightInseam(in inches) How to measure Lay the pant flat with front and back aligned. Measure the length from the crotch seam to the bottom of the leg Close
5'124
5'224
5'325
5'425
11 more rows

How many different outfits can Marcus have 4 ties 5 shirts and 3 pairs of pants? ›

Expert-Verified Answer

The number of outfits that Marcus can try is 60.

How many outfits can be put together from 6 shirts 3 pairs of pants and 4 pairs of shoes? ›

Answer. Therefore, there are 72 possible outfit combinations from these items.

Top Articles
Latest Posts
Article information

Author: Neely Ledner

Last Updated:

Views: 5774

Rating: 4.1 / 5 (42 voted)

Reviews: 89% of readers found this page helpful

Author information

Name: Neely Ledner

Birthday: 1998-06-09

Address: 443 Barrows Terrace, New Jodyberg, CO 57462-5329

Phone: +2433516856029

Job: Central Legal Facilitator

Hobby: Backpacking, Jogging, Magic, Driving, Macrame, Embroidery, Foraging

Introduction: My name is Neely Ledner, I am a bright, determined, beautiful, adventurous, adventurous, spotless, calm person who loves writing and wants to share my knowledge and understanding with you.