Final answer:
To calculate the total number of unique combinations Charlie can make with his clothes and accessories, multiply the number of options for each category together. The correct answer is 720 days, as 4 pairs of shoes, 12 shirts, 5 pairs of pants, and 3 watches yield 720 different combinations.
Step-by-step explanation:
The student is asking how to calculate the total number of unique combinations that can be made with a given set of items. In this case, Charlie has 4 pairs of shoes, 12 shirts, 5 pairs of pants, and 3 watches. To find the total number of combinations, we multiply the number of options for each item together:
- Shoes: 4 options
- Shirts: 12 options
- Pants: 5 options
- Watches: 3 options
This gives us a total of 4 x 12 x 5 x 3 = 720 different combinations. Therefore, Charlie can go 720 days without wearing the same combination of these four items.