Choosing multiple objects to branch to a new slide

I think this would be possible to do with a list of triggers as Brian has suggested, but as he says it could get complicated quickly!

I'd maybe have a go at building an array using some Javascript, especially if the order of ingredients is important in the long run!

This would allow you to build an image of all possible combinations on screen 2, and house them as states in a single image

On the first page, the variables are your ingredients and the javascript trigger sorts them into alphabetical order, before jumping to the next slide. This means that whatever order someone selects the ingredients, they will always be sorted to match one of the states on the second slide

Can I recommend this fantastic resource by Zsolt Olah as a starter?

It explains arrays and their purpose much better than I can!