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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?

 Oct 20, 2022
 #1
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[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

 Oct 20, 2022

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