Great question!
(4*3)*3=total possible stroke side options
(6*2)*3=total possible bow side options
(4*3)*(6*2)*3 = 432
Explanation 1: The numbers in parentheses are are the ways the one-side only people can be on. The numbers outside the parentheses are the 3 possible ways the floaters that could pick either side could be arranged for each unique combination of one-sided people on each side.
Explanation 2: So we take the options for the one-siders on the left (4*3), the options for the one-siders on the right (6*2), and multiply them. That (144) is the total number of one-side combinations. But each one of those combinations still has three empty seats. So we take that number (144) and multiply by three.
I'm sorry I can't explain further! I did my best. I hope this makes sense.
(4*3)*3=total possible stroke side options
(6*2)*3=total possible bow side options
(4*3)*(6*2)*3 = 432
Explanation 1: The numbers in parentheses are are the ways the one-side only people can be on. The numbers outside the parentheses are the 3 possible ways the floaters that could pick either side could be arranged for each unique combination of one-sided people on each side.
Explanation 2: So we take the options for the one-siders on the left (4*3), the options for the one-siders on the right (6*2), and multiply them. That (144) is the total number of one-side combinations. But each one of those combinations still has three empty seats. So we take that number (144) and multiply by three.
I'm sorry I can't explain further! I did my best. I hope this makes sense.