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

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
[tex]3\cdot6=18[/tex]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.