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At my ticketing web site, I have the ability to display a seat map with the available seats for any given show date and have the customer click on the seats he/she wants. From what I read here in the forums and the docs, I need to have a product of the show name with the variants of show date and seat location. I don't need to have the customer select the variants and I certainly don't want to have to enter on E-junkie all 124 seats for all 12 performances. Since the web page knows the values already, is there a way to tell E-junkie directly? Or have I missed the design entirely?
Thanks.

Unlike Variants, our Variations function is more flexible and doesn't necessarily require you to set up matching values for the product's settings in Admin, so you can just pass whatever values you wish directly from the page.

E.g., your page could just append the show/seat info to the Add to Cart URL(s) directly, using Variations parameters like so:

https://www.e-junkie.com/ecom/gb.php?c=cart&i=AAAAA&cl=20545&ejc=2& on0=Date&os0=Apr-20-2010&on1=Seat&os1=B12