Question

A fashion designer is putting together outfits for a fashion show. She decides to choose 6 articles of floating how many combinations are possible?

Answer 1

Since no more information is provided, we will suppose that the combinations consist of one accessory and one article of clothing. There are 3 accessories and 6 articles of clothing; therefore, the number of possible combinations is

`3\cdot6=18`

If only 6 articles of clothing are available, together with 3 different accessories, the number of combinations is 18.

On the other hand, if the problem refers to the different ways the fashion designer can choose 6 articles of clothing from the 7 available, the answer is 7 different combinations.