grammar - The function of all, both, and each


These pronouns, which seem to behave the same way, confound me. I'm always scratching my head whenever I come across them in a diagram.


1) All the students can go. 
2) All of the students can go.
3) They all can go.
4) The students can all go.

These sentences all have the same semantic meaning, but what is the function of "all/both/each" in these examples?




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