Hey guys. I have this problem:
Let . Give an example of a partition S of A satisfying the following requirements:
(i) |S| = 5,
(ii) there is a subset T of S such that |T| = 4 and = 10 and
(iii) there is no element such that |B| = 3.
I need help understanding what the second part of (ii) means. I was able to create a partition that I think satisfies the other conditions. I just don't see how could have a cardinality of 10 when the subset T has only 4 elements.