Permissions refer to predefined capabilities granted to a subject to access or operate objects.
Permissions are typically related to or associated with objects, e.g., NTFS permissions, Shared folder permissions, printer permissions, and Linux directory/file permissions (0x777), etc.
Permissions can be divided into different levels. For example, The NTFS file system has standard permissions in different levels such as Full control, Modify, Read & execute, Read, Write, and Special permissions.
Rights
Capabilities granted to a subject which are outside the scope of permissions.
Rights typically are associated with actions, e.g., shut down a server, change the system time.
Rights typically are YES/NO decisions. Microsoft group policy or local security policy is a good example to configure rights.