I choose three different numbers out of this list and add them together: 1, 3, 5, 7, 9,..., 105, 107, 109, 111, 113. How many different totals can I get?

[113 - 1] / 2 + 1 =57 terms

57 C 3 =29,260 - combinations, or number of totals.

The above total includes all duplicates, which number: 29,097 + 163 unique totals=29,260