Mice love beetroot as much as me. A whole row, munched! :'(
(http://i15.photobucket.com/albums/a364/Mrsava/mousedamage.jpg)
I think you may find that is Rat damage not Mice
We had rats in our allotment site.
The council pest control person came and said "you will get rats as long as there is food like beetroot around"
I was lost for words!,
and thats very unlike me.