Sum it up!

Algebra Level 5

Let T={5,8,11,14,,47,50}T = \{5, 8, 11, 14, \ldots, 47, 50\} and let SS be the sum of 33 pairwise distinct integers chosen from TT. How many distinct possible values are there for SS?

Details and assumptions

3 integers are pairwise distinct if no two of them are equal.

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