How many possible combinations/permutations?

I have 104 ingredients, and there are a maximum of 3 ingredients, how many recipes can be made? Take into account the order matters, that makes this a question of possible permutations instead of combinations right? ex. apple + cherry + strawberry and strawberry + apple + cherry would be two different recipes. Also, flavors can be repeated, so cherry, cherry+cherry, and cherry+cherry+cherry would all be different recipes.

The recipe can have $1, 2\; or\; 3$ ingredients.
number of recipes = $104 + 104^2 + 104^3$
Hoe many 3-letter 'words' are possible with an alphabet having $n$ letters? aaa, aba, abc, acb etc are all to be treated as separate words. It is simply $n^3$, as first letter can be any of the $n$, second can also be any of the $n$ letters and so on. So $104^3=1124864$ is the number of recipes possible.