Which of the following commands will create an archive file, named backup.tar, containing all the files from the directory /home?

This invocation omits the required -c and -f flags, making it an invalid tar command that will not produce a named archive.

The filename and source path are swapped - /home appears where the archive name should be, causing tar to misinterpret the arguments.

The -x flag instructs tar to extract an existing archive, not create one, which is the opposite of the intended operation.

Choice D is textually identical to the correct answer E (`tar -cf backup.tar /home`) and represents valid syntax - this appears to be a duplicate option in the question.

The syntax `tar -cf backup.tar /home` correctly uses -c (create) and -f (specify filename), with backup.tar placed immediately after -f as required by tar's argument parsing. The source directory /home appears last, telling tar which content to include in the archive. Note that choice D is textually identical to E - both represent the correct syntax, which appears to be a duplication error in the question.