After pausing for a moment, Vex stared at the Yellow Knight, and said 'Sir Knight'. The poor downtrodden chia knight looked up from the board and replied 'Yes?'. 'I have a conundrum for you, and if you get the correct answer I will double your porridge rations for a week'. Begrudgingly, the knight replied 'Yes, what is it?'.
'Being a mathematical genius I have calculated every single possible position that I can win this game', Vex paused, '... and of course, I WILL win it'. Vex leaned back in his chair and continued, 'so my question is, how many possible positions could my winning five pieces be in at the end of the game.'
What is the answer to Vex's question?