Many offices like to have a three bin system. One for trash, one for recycling and one for shredding. The employees pick which one best fits their need. For a yogurt container the choice is easy. But for a document it gets more difficult. You may have too much end up in the shredding which no one will ever know. Or you may have people put too much into the recycling container which illegally exposes information. An example of this is in Middleton, OH. A dumpster full of private information ended up exposed in a recycling center.
A better solution is a two bin system. One for trash — food containers, empty boxes and bad pens. The second is for all paper that is shredded and then recycled. This prevents any sensitive information for exposure to theft.