- Given that \(a , b\) and \(c\) are integers greater than 0 such that
- \(c = b + 2\)
- \(a + b + c = 10\)
Prove, by exhaustion, that the product of \(a , b\) and \(c\) is always even.
You may use the table below to illustrate your answer.
You may not need to use all rows of this table.