Critically assess cach item. Identify crrors and propose ways to rectify them. Each item is worth 15 points. (11) Suppose we divide a set S into K partitions. Denote these subsets as Ck,k=1,2,.K. By the definition of a partition, we can say that kCk=SkCk, implying that kCk= and SkCk=. If kCk has elements, then its complement is also non-empty. Thercfore, in any partition, we expect that ((kCk)c)c is non-empty. Critically assess cach item. Identify crrors and propose ways to rectify them. Each item is worth 15 points. (11) Suppose we divide a set S into K partitions. Denote these subsets as Ck,k=1,2,.K. By the definition of a partition, we can say that kCk=SkCk, implying that kCk= and SkCk=. If kCk has elements, then its complement is also non-empty. Thercfore, in any partition, we expect that ((kCk)c)c is non-empty