In the vi editor, one of the ways to issue commands multiple times or apply them to multiple rows is to specify the number right in front of a command. This will repeat the command as many times as the number indicates. For example, the command 4l will move the cursor four characters to the right, and the command
2yj will copy two lines from the current line to the buffer. This method can be used for most of the vi commands that operate on single characters, words, lines, or blocks of text. Another way to issue commands multiple times or apply them to multiple rows is to use the . (dot) command, which repeats the last command.
For example, after deleting a line with dd, pressing . will delete another line. However, this method is less precise and efficient than specifying the number before the command. References:
* Basic vi commands (cheat sheet), Topic: Moving within a File (Navigation).
* Vi Editor with Commands in Linux/Unix Tutorial, Topic: VI Editing commands.

watch
Explanation:
The program that runs a command in specific intervals and refreshes the display of the program's output is watch. This command is used to run any designated command at regular intervals and displays the output of the command on the terminal window. It is useful when you have to execute a command repeatedly and watch the command output change over time. The syntax of the watch command is:
watch [options] command
The options can modify the behavior of the watch command, such as how to format the output, how to handle signals, or how to enable color. The command is the command that you want to run and monitor. The default interval between each execution of the command is 2 seconds, but you can change it with the -n or --interval option. For more help using the watch command and its options, run man watch or visit this link.

The command that installs GRUB 2 into the master boot record on the third hard disk is grub-install /dev/sdc.
The grub-install command is the high-level tool for installing GRUB 2 on a disk or a partition. It takes a device name as an argument and writes the GRUB 2 boot loader information to the specified location. If the device name is a disk, such as /dev/sdc, the boot loader information is written to the master boot record (MBR) of the disk, which is the first sector that contains the boot code and the partition table. If the device name is a partition, such as /dev/sdc1, the boot loader information is written to the boot sector of the partition, which is the first sector of the partition that contains the boot code and the file system information. The grub- install command is part of the 101.1 Determine and configure hardware settings topic of the LPI Linux Essentials certification program12.
The other commands are either invalid or do not perform the desired task. The grub2 install command does not exist, as grub2 is not a valid command name. The grub-mkrescue command is used to create a bootable GRUB 2 rescue image, not to install GRUB 2 on a disk or a partition3. The grub-mbrinstall command does not exist, as mbrinstall is not a valid subcommand for grub. The grub-setup command is a low-level tool for installing GRUB 2 on a disk or a partition, but it is not recommended for normal use, as it requires specifying the location of the GRUB 2 core image file4. References:
* Linux Essentials - Linux Professional Institute Certification Programs1
* Exam 101 Objectives - Linux Professional Institute2
* GNU GRUB Manual 2.06: Making a GRUB bootable CD-ROM3
* GNU GRUB Manual 2.06: Installing GRUB natively4

The world-writable directory that should be placed on a separate partition in order to prevent users from being able to fill up the / filesystem is /tmp. This directory is used by applications and users to store temporary files, and it is world-writable by default. By creating a separate partition for /tmp, the amount of space available to users is limited, and the root filesystem is protected from being filled up by temporary files1.
To create a separate partition for /tmp, you can use the fdisk or parted command to create a new partition on the disk. Once the partition is created, you can format it with a filesystem such as ext4, and then mount it to the /tmp directory using the mount command. Finally, you can modify the /etc/fstab file to ensure that the partition is mounted automatically at boot time1. Here is an example of the steps to create a separate partition for /tmp:

After completing these steps, the /tmp directory will be mounted on a separate partition, and users will be limited in the amount of space they can use for temporary files.
:
LFCS: Linux World-Writable Directory Partitioning

The cut command is used to extract selected portions of each line of a file or a stream. The -f option is used to specify the fields to be extracted, separated by commas. The -d option is used to specify the delimiter that separates the fields. The default delimiter is the tab character. The cut command can only select output by field position, not by field content. The cut command can also work on non-ASCII text, such as UTF-8 encoded text. The cut command can use different input and output delimiters, but only if the output delimiter is specified by the --output-delimiter option. The cut command cannot reorder fields, meaning that the output fields will always appear in the same order as the input fields. To reorder fields, other commands such as awk or sed can be used. References:
* LPI 101-500 Exam Objectives, Topic 103.7, Weight 4
* LPI Learning Materials, Chapter 3.7, Basic Scripting
* Web Search Results,