Consider the two phrases:
- alphabets and integers sets
- alphabets set and integers set
Are both grammatically correct? If so, which one is a better style and why?
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My first impression is that both are wrong and that what you want to say is "alphabet and integer sets".
A set of alphabets, aka "alphabet sets", is a container of alphabets. It's a grouping, or collection, that holds only alphabets and can contain any number of alphabet sets including zero and approaching infinity.
Logically, it would look something like this:
And the integer set would look like:
If you mean to pluralize the alphabets and integers, then you're probably looking at something like this: