calculus Multiplicative Principles

Question

For your college interview, you must wear a tie. You own 3 regular (boring) ties and 5 (cool) bow ties.

For the rest of your outfit, you have 4 shirts, 3 skirts, 4 pants, and 8 dresses. You want to select either a shirt to wear with a skirt or pants, or just a dress. How many outfits do you have to choose from?

Answer 1

To solve this problem, you will need to consider the number of outfits you can create with each type of clothing item. Here is a breakdown of the number of outfits you can create with each item:

1. Ties: You own 3 regular ties and 5 bow ties, for a total of 3 + 5 = 8 ties.
2. Shirts: You own 4 shirts. You will need to wear a shirt with either a skirt or pants, so you have 4 * 2 = 8 outfit options with shirts.
3. Skirts: You own 3 skirts. You will need to wear a skirt with a shirt, so you have 3 outfit options with skirts.
4. Pants: You own 4 pants. You will need to wear pants with a shirt, so you have 4 outfit options with pants.
5. Dresses: You own 8 dresses. You can wear a dress on its own, so you have 8 outfit options with dresses.

In total, you have 8 outfit options with ties, 8 outfit options with shirts, 3 outfit options with skirts, 4 outfit options with pants, and 8 outfit options with dresses. This means you have a total of 8 + 8 + 3 + 4 + 8 = 31 outfit options to choose from.