You have in front of you 30 distinguishable children. You know the 10 children who prefer apples and you know the 20 children who prefer oranges. You have 50 apples and 50 oranges. In how many ways can you distribute all your fruits to the 30 children so that every child that prefers apples gets at least 2 apples and every child that prefers oranges gets at least 2 oranges?