# Tit, Tut, Tet, Tot

Level pending

Defined that $$tit, tut, tet$$ and $$tot$$ are sets which have these following properties:

1. Not all sets are disjoint
2. Intersection of the joint sets have 9 elements
3. 14 elements only belong to $$tit$$, meanwhile $$tot$$ has 22 elements in total
4. $$Tut$$ has two elements more than $$tot$$ does
5. $$Tit$$ and $$tut$$ intersect each other with 10 elements included
6. Twice the number of elements the intersection of the joint sets have are $$tut's$$ but also belong to other two sets
7. Every $$tet$$ is $$tit$$, but 16 of $$tit's$$ aren't $$tet's$$. An eighth of this quantity is $$tit's$$ and $$tot's$$ at once, but not $$tut's$$

If $$tet$$ has 10 elements and the universe equals to the four elements. How many elements are there?

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