Question 1208363
<pre>
The sum of an odd number of odd numbers is always odd, never even

9 is an odd number, so if all 17 were odd, the statement would be false. 

However, a question you might ask is whether a set of 17 odd positive integers 
is the ONLY counterexample, or are there any others?

Certainly 16 odds and 1 even is not a counterexample because 8 odds and 1 even
would be 9 with an even sum.

Edwin</pre>