Take 25 marbles. Put them in 3 piles so an odd number is in each pile. How
many ways can this be done?
Another new kind of problem! This one calls for you to make some kind of systematic list or table to make it easier (or possible!) to find the solution. For this problem, the beginning of your table might look like this:
Pile 1 | Pile 2 | Pile 3 |
1123 | ||
1321 | ||
1519 | ||
1717 | ||
......... |
As always, be sure to explain the
work you did to arrive
at your answers!