Three ways to make a stereo file mono
A stereo file carries two channels, left and right. Making it mono means ending up with one. The default, mixing, combines the two channels so everything in the stereo image is folded into the centre. It is the right choice for most music, interviews and field recordings, because nothing is thrown away. Left only and Right only do the opposite: they keep one channel and discard the other. Use them when one side holds a clean take and the other is noisy, or when two microphones recorded different sources and you want only one.
Mono files can be a problem on some devices. A file with a single channel may play from only one earbud or one speaker on a player, or be refused by a video editor. The option to write the mono signal into both channels solves that. The output is still a stereo container, but the left and right sides are identical, so it sounds centred and plays through every speaker.