Hello Scott,
I would say it is a determiner.
If it were in a more canonical position, but clearly less probable
(statistically speaking), such as "All the happy teachers and all their
smiling students....", its nature of determiner would be apparent.
Sergio Pizziconi

2018-01-11 21:51 GMT+01:00 Scott Woods <
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> Hi All,
>
> In the following sentence <The happy teachers and their smiling students
> all enjoyed the grammar party> how would you characterize the word <all>?
>
> What is its function and what would you call it?
>
> Thanks,
>
> Scott Woods
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