CBC designs usually show more than 1 product concept per task. For example, a typical CBC design might show 3 product concepts per task. Thus, there are many more than 233,280 possible 3-product combinations that can be shown in any task.
But, in short, CBC's designer cannot generate all possible combinations for your 7 attributes design, even if we were talking about just one product concept per task. And, for most every CBC project in practice, it is really unnecessary to do so.