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.

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