Let A = {1,2,...,12}. Give an example of a partition S of A satisfying the following requirements:
1. |S| = 5
2. There is a subset T of S such that |T| = 4 and |U_(X∈T)X| = 10
3. There is no element B ∈ S such that |B| = 3
@amistre64 @ganeshie8 @phi @RadEn @thomaster @whpalmer4 @eliassaab @Preetha @wolfe8 @ZeHanz @Australopithecus @rose21 @bibby

Question

Let A = {1,2,...,12}. Give an example of a partition S of A satisfying the following requirements: 
1. |S| = 5
2. There is a subset T of S such that |T| = 4 and |U_(X∈T)X| = 10
3. There is no element B ∈ S such that |B| = 3
@amistre64 @ganeshie8 @phi @RadEn @thomaster @whpalmer4 @eliassaab @Preetha @wolfe8 @ZeHanz @Australopithecus @rose21 @bibby

anonymous · Answer

@satellite73

anonymous · Answer

@phi What i'm particularly struggling with is the second condition. @amistre64

amistre64 · Answer

1) We need S to contain 5 elements
2) We need S to be made such that a subset of 4 elements has the property of the Union defined

anonymous · Answer

What does the union defined mean

anonymous · Answer

That's probably my main question HAHA

amistre64 · Answer

i would say that T adds up to 10, but the ascii is hard to parse.

anonymous · Answer

f

amistre64 · Answer

might need to get a better definition of |S|, im assuming it means cardinality but that might be a bad assumption on my part

anonymous · Answer

Why is the draw feature not working when I need it most?

amistre64 · Answer

might be a browser issue, try hitting f5 to see if it kickstarts it

anonymous · Answer

|S| means cardinatlity

amistre64 · Answer

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