Excel VLOOKUP(sum of two values, array(sum of value 1 + 2)

The title may be as vage as possible, but i'm new at this and i'm trying.

I want have a sheet with the setup:

User Role | Permission

But the a permission could also apply for multiple User roles,

So i want to create a more user friendly sheet Where i plot:

              User role x | User role y| User role z
Permission 1
Permission 2
Permission x

And want to display this to true or false, or something.

But i am kind of stuck because my wildest VLOOKUP is just a lookup for 1 value in another sheet. i also saw some form of match and index combined, maybe that's something that could work?

Could you guys help me out with this?