The total number of ways could be found by enumerating all the possible cases, which are
B1 B2 B3
[5 0 0]
[4 1 0]
[3 2 0]
[3 1 1]
[2 2 1]
Hence 5 is the answer.
Comments:
Hi, the only addition that I would make to your solution is to demonstrate why B1 >= B2 >= B3. Otherwise, it isn't clear why [1 4 0] is not a possible case.
- --Nathan Claus 12:21, 5 October 2008 (UTC)
