6. 社區健康營造該如何促進社區的社會資本(social capital),請說明社區社會資本是什麼?如何運用以促進社區住民的身心健康?(15%)

1. (13 points) There are 10 different items. The weight of these items are integers between l and 100. A person wants to pick two disjoint non-empty sets of items such that the total weight of one set is the same as the total weight of the other. (Each set may contain any number of items.) Is it always possible to choose these two sets? Prove your answer.