In how many ways can we distribute $7$ apples and $6$ oranges among $4$ children so that each child gets at least one apple?
I think this can be solved by using permutations because the word distribute (arrange) is given, if the word select (e.g., select a group of ..) was there I was to use combinations. Also permutations takes into consideration the order of arrangement. Am I right? Can some one explain how to solve the above problem?