Question

How many possible sets of three odd numbers are there whose sum is even?

Answer 1

None

Explanation:

The sum of any three odd numbers will be odd.

Any odd number is expressible in the form `2k+1` for some integer `k`.

So the sum of `3` odd numbers will take the form:

`(2k_1+1)+(2k_2+1)+(2k_3+1) = 2(k_1+k_2+k_3+1)+1`