Choosing a Divisibile Sum

A set of four distinct numbers are chosen from the set {1,2,39,10,11}\{1,2,3 \ldots 9, 10, 11\}. How many ways can this set of 44 numbers be chosen such that the sum is divisible by 33?

Details and assumptions

Choosing the numbers {1,2,3,6} \{ 1, 2, 3, 6 \} is the same as choosing the numbers {6,3,2,1} \{ 6, 3, 2, 1 \} .

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