The invention relates to the combination of a sulforaphane precursor, an enzyme capable of converting the sulforaphane precursor to sulforaphane, an enzyme potentiator, and a mushroom (preferably maitake, shiitake, or reishi mushroom) extract or powder. The invention also relates to the combination of sulforaphane or a derivative thereof and a mushroom (preferably maitake, shiitake, or reishi mushroom) extract or powder. The present invention also relates to the combination of a broccoli extract or powder and a mushroom (preferably maitake, shiitake, or reishi mushroom) extract or powder. The present provides compositions and methods relating to these combinations.