Which command would not delete the user's home directory?

The command that would not delete the user's home directory is the one specified with the "-h" option, which is not a valid command in the context of user deletion. The typical options for the userdel command include "userdel" without any flags, which removes a user but does not delete their home directory, and "userdel -r," which does delete both the user and their home directory.

Using "userdel bsmith" alone will remove the user account but leave the home directory intact. The command "userdel bsmith; rm -rf /home/bsmith" explicitly states to remove the user and then forcibly remove the directory in a sequential manner, which would lead to the deletion of the home directory after removing the user.

Overall, without any valid "-h" option in this command context and based on standard command usage, it will not affect the home directory, making it the appropriate choice.