Which of the following commands can be used in combination to both delete a user and remove their home directory?

The choice indicating the combination of commands to delete a user while also removing their home directory is correct due to the specific actions taken by each part of the command. The first part, "userdel bsmith," is utilized to remove the user account named 'bsmith.' This command is essential as it effectively eliminates the user's access and associated account information from the system.

However, simply deleting the user account does not automatically remove that user's home directory, which typically resides in the /home directory. To achieve this, the second part of the command, "rm -rf /home/bsmith," forcibly removes the home directory and its contents. The rm -rf command is a powerful command that recursively deletes the specified directory and all files within it without prompting for confirmation.

Using these two commands together ensures that both the user account and the associated home directory are completely deleted, making this option the most comprehensive solution for the stated requirement.

Other options do not fulfill both criteria of removing the user account and its home directory effectively. For example, while commands involving userdel may exist, they either miss the action of deleting the home directory or would not be appropriate for this particular task.