I was in a village minding my own business in Minecraft 15w32c when I noticed beetroots and beetroot seeds lying on the ground in a piece of farmland. I hadn't dropped them, and there were some beetroots growing nearby. I figured a villager had farmed the beetroots and moved too far away to pick them up. But the next thing I knew, a villager came along and harvested some crops nearby, and didn't pick up the beetroots and seeds as he passed! I used /entitydata to remove the villager's inventory, and they still are unable to pick up beetroots and beetroot seeds. I planted beetroots and waited for them to grow, and a villager harvested them, but didn't pick up the items, so farming them isn't a problem.