"a set of" is correct and usable in written English.
You can use it to refer to a group of things viewed as a unit, such as "a set of dishes" or "a set of mental exercises." Here is an example sentence: "The students were given a set of components to assemble during the workshop."
Exact(60)
A set of two stones is $13.
A set of coordinates?
A set of teeth.
A set of controlled assessments?
A set of labels.
A set of new placemats and napkins.
A set of miRNAs was developmentally regulated.
A set of 175 genes was common.
A set of strong correlations, viz.
A set of your favorite clothing.
"He's got a set of nuts.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com