ABSTRACT

A family of four, Anne, Benny, Charles, and Denise, sat down in their living room to watch a movie. As luck would have it, their home phone rang 10 times during the movie. Furthermore, the answering machine was broken, and the family was expecting an important call, so they answered the phone each time. In order to keep their spirits up, the family agreed that at the end of the movie each person will get a scoop of ice cream for each time that person answered the phone. The 10 scoops of ice cream will certainly be consumed as soon as the movie is over, but how many distributions are possible for those 10 scoops?