Most current file systems have methods of administering permissions or access rights to specific users and groups of users. These systems control the ability of the users affected to view or make changes to the contents of the file system.
Unix-like and otherwise POSIX-compliant systems, including Linux-based systems and all Mac OS X versions, have a simple system for managing individual file permissions, which in this article are called "traditional Unix permissions". Most of these systems also support some kind of access control lists, either proprietary (old HP-UX ACLs, for example), or POSIX.1e ACLs, based on an early POSIX draft that was abandoned, or NFSv4 ACLs, which are the part of NFSv4 standard.
OpenVMS (a.k.a. VMS), as well as Microsoft Windows NT and its derivatives (including Windows 2000 and Windows XP), use access control lists (ACLs) to administer a more complex and varied set of permissions. OpenVMS also uses a permission scheme similar to that of Unix, but more complex. There are four categories(System, Owner, Group, and World) and four types of access permissions (Read, Write, Execute, and Delete). The categories are not mutually disjoint: World includes Group which in turn includes Owner. The System category independently includes system users (similar to superusers in Unix). 
Classic Mac OSes are similar to DOS variants and DOS-based Windows: they do not support permissions, but only a "Protected" file attribute.
The AmigaOS Filesystem, AmigaDOS supports a relatively advanced permissions system, for a single-user OS. In AmigaOS 1.x, files had Archive, Read, Write, Execute and Delete (collectively known as ARWED) permissions/flags. In AmigaOS 2.x and higher, additional Hold, Script, and Pure permissions/flags were added.
Mac OS X versions 10.3 ("Panther") and prior use POSIX-compliant permissions.
Mac OS X, beginning with version 10.4 ("Tiger"), also support the use of NFSv4 ACLs. They still support "traditional Unix permissions" as used in previous versions of Mac OS X, and the Apple Mac OS X Server version 10.4+ File Services Administration Manual recommends using only traditional Unix permissions if possible. It also still supports the Mac OS Classic's "Protected" attribute.
Permissions on Unix-like systems are managed in three distinct classes. These classes are known as user, group, and others. In effect, Unix permissions are a simplified form of access control lists (ACLs).
When a new file is created on a Unix-like system, its permissions are determined from the umask of the process that created it.
Files and directories are assigned a group, which define the file's group class. Distinct permissions apply to members of the file's group members. The owner need not be a member of the file's group.
Users who are not the owner, nor a member of the group, comprise a file's others class. Distinct permissions apply to others.
The effective permissions are determined based on the user's class. For example, the user who is the owner of the file will have the permissions given to the owner class regardless of the permissions assigned to the group class or others class.
There are three specific permissions on Unix-like systems that apply to each class:
The effect of setting the permissions on a directory (rather than a file) is "one of the most frequently misunderstood file permission issues" (Hatch 2003).
When a permission is not set, the rights it would grant are denied. Unlike ACL-based systems, permissions on a Unix-like system are not inherited. Files created within a directory will not necessarily have the same permissions as that directory. The permissions to be assigned are determined using umasks.
There are many ways by which Unix permission schemes are represented. The most common form is symbolic notation.
|Three groups of three|
|first||what the owner can do|
|second||what the group members can do|
|third||what other users can do|
s or t: executable and setuid/setgid/sticky.
S or T: setuid/setgid or sticky, but not executable.
Each class of permissions is represented by three characters. The first set of characters represents the user class. The second set represents the group class. The third and final set of three characters represents the others class.
Each of the three characters represent the read, write, and execute permissions respectively:
The following are some examples of symbolic notation:
-rwxr-xr-xfor a regular file whose user class has full permissions and whose group and others classes have only the read and execute permissions.
crw-rw-r--for a character special file whose user and group classes have the read and write permissions and whose others class has only the read permission.
dr-x------for a directory whose user class has read and execute permissions and whose group and others classes have no permissions.
With three-digit octal notation, each numeral represents a different component of the permission set: user class, group class, and "others" class respectively.
Each of these digits is the sum of its component bits (see also Binary numeral system). As a result, specific bits add to the sum as it is represented by a numeral:
These values never produce ambiguous combinations; each sum represents a specific set of permissions.
These are the examples from the Symbolic notation section given in octal notation:
Here is a summary of the meanings for individual octal digit values:
0 --- no permission 1 --x execute 2 -w- write 3 -wx write and execute 4 r-- read 5 r-x read and execute 6 rw- read and write 7 rwx read, write and execute
Note the similarity to binary counting (starting at the right and going left):
0: 000 1: 001 2: 010 3: 011 4: 100 5: 101 6: 110 7: 111
Octal digit values can be added together to make Symbolic Notations:
(4=r)+(1=x) == (5=r-x)
(4=r)+(2=w) == (6=rw-)
(4=r)+(2=w)+(1=x) == (7=rwx)
Here is a summary showing which octal digits affect permissions for user, group, and other:
Some systems create a new group – a "user private group" – for each new user. The "user private group" scheme can be preferred for a variety of reasons including using a umask of 002 and not having every "user" able to write to newly created files.