THERE ARE 12 IDENTICAL MARBLES IN A BAG. ONLY TWO, THREE OR FOUR M...

14. There are 12 identical marbles in a bag. Only two, three or four marbles may be removed at a time. How many different ways are there to remove all the marbles from the bag? For example, here are 3 different ways, i) 4 then 3 then 3 and then 2, ii) 2 then 3 then 3 and then 4, iii) 2 then 2 then 2 then 3 and then 3.