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Let T={5,8,11,14,…,47,50}T = \{5, 8, 11, 14, \ldots, 47, 50\}T={5,8,11,14,…,47,50} and let SSS be the sum of 333 pairwise distinct integers chosen from TTT. How many distinct possible values are there for SSS?
Details and assumptions
3 integers are pairwise distinct if no two of them are equal.
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