The most efficient method is to use negative mapping in the -map option to exclude specific stream(s) ("tracks") while keeping all other streams.
Remove a specific audio stream / track
ffmpeg -i input -map 0 -map -0:a:2 -c copy output
-map 0 selects all streams from the input. 
-map -0:a:2 then deselects audio stream 3. The stream index starts counting from 0, so audio stream 10 would be 0:a:9. 
Remove all audio streams / tracks
ffmpeg -i input -map 0 -map -0:a -c copy output
-map 0 selects all streams from the input. 
-map -0:a then deselects all audio streams from the input. 
Remove specific audio streams / tracks
Keep everything except audio streams #4 (at offset 3) and #7 (at offset 6):
ffmpeg -i input -map 0 -map -0:a:3 -map -0:a:6 -c copy output
Remove all subtitles and data
ffmpeg -i input -map 0 -map -0:s -map -0:d -c copy output
Only include video and audio
This example does not need to use any negative mapping.
ffmpeg -i input -map 0:v -map 0:a -c copy output
Removing other stream / track types
If you want to remove other stream types you can use the appropriate stream specifier.
v - video, such as -map -0:v 
a - audio, such as -map -0:a (as shown above) 
s - subtitles, such as -map -0:s 
d - data, such as -map -0:d 
t - attachments, such as -map -0:t 
Extract or remove a specific audio channel
Using a stereo input and channelsplit filter. Example to get the right channel only and output a mono audio file:
ffmpeg -i stereo.wav -filter_complex "[0:a]channelsplit=channel_layout=stereo:channels=FR[right]" -map "[right]" front_right.wav
channel_layout is the channel layout of the input stream. The default is stereo.
 
channels lists the channels to be extracted as separate output streams. The default is all which extracts each input channel as a separate, individual stream.
 
See ffmpeg -layouts for a list of accepted channel layouts (for channel_layout option) and channel names (for channels option).
 
See FFmpeg Wiki: Audio Channels for more examples.
 
More info