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Given
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It looks like you're trying to say that if Flavor1 goes with Topping1, a two-flavor combo should not include a Flavor2 that also goes with Topping1, and also Flavor2 should not have Topping2 that could be paired with Flavor1. You have presented the following combinations as permissible:
It's not clear whether "ChocChip & WhipCream" is considered a single topping, or two separate toppings, or a distinct topping from ChocChip or WhipCream alone. The precise details of Caramel and Strawberry are also vague: is it only Strawberry that only gets ChocChip topping in "more specific combinations," or also Caramel? The "only in some more specific combinations" also seems to strengthen the idea that one legitimate topping is "ChocChip & WhipCream" as distinct from either ChocChip or WhipCream alone, such that there does not appear to be any way to know for certain what constitutes a permissible topping combination for Strawberry (and, maybe Caramel).
My inclination is to agree with @PutAHelmetOn that Vanilla can be eliminated, since the two toppings you've mentioned both go on Vanilla, so adding a different flavor to vanilla doesn't add any topping possibilities--assuming the only two toppings are whipped cream and chocolate chips, which seems unlikely (and is never stated by you) but there's no further information given on the matter. This appears to hold true even if "ChocChip & WhipCream" is a distinct topping from either ChocChip or WhipCream alone, since presumably adding ChocChip to "ChochChip & WhipCream" won't count as adding a topping by adding a flavor.
Since Mint, Caramel, and Strawberry are all identified as ChocChip (with some asterisks), the obvious thing to do is combine one of them with Coffee, identified as WhipCream. Mint-Coffee would most easily and obviously fit the bill, but it's not on the list. Of the two non-vanilla options, Mint-Caramel and Caramel-Coffee, Caramel-Coffee seems to be the easiest fit, assuming Caramel is not part of the "latter" flavors intended to include ChocChip "only in some more specific combinations." If so, Mint-Caramel has the same presumptive problem as Vanilla: both flavors take ChocChip topping, even if some further combination requires it.
And all this depending somewhat on what the "more specific combinations" actually are, of course, but that information isn't provided, but... the way you've written the problem, Caramel-Coffee appears to be the only plausible answer. It's just that the whole rest of the problem seems to hint at the existence of further helpful information which you have for some reason neglected to provide, which anyone actually applying for an apprenticeship would certainly make it a point to know. For example, if Strawberry only gets ChocChip in combination with Banana topping, then Vanilla-Strawberry would work despite the ChocChip overlap--but this is also moot given the possible answers, since none of items A-E include Strawberry at all. But this reasoning also works for item B, Vanilla-Caramel, if Caramel is indeed among the "latter" flavors in that sentence and the combination in question includes some third unmentioned topping.
I think part of the problem is that the additional information might "give away" what this problem comes from. The block quote is a pretty straightforward adaptation of the original question, but the background information is comicsansstein's own summary of the relevant background information; participants were expected to bring their own understanding of the domain with them.
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