I know that some functionality will not be available like bit locker, but in general can Office 365 Premium fun on Windows 10 Home? I understand that Microsoft does not provide an upgrade path require purchasing new licenses to migrate to Windows Pro editions.
On my Windows 10 PC, there is no problem to run Office 265 Premium on it. Actually, you can buy a Pro license to upgrade Home to Pro. This will be done automatically once you changed the product key in Windows 10 settings.
