/sci/ - Science & Math

Me again.

6. I found that the answer is 32 by trying smaller examples and seeing that the pattern was diagonals. How would I explain this or use the pigeonhole principle though??

7. I see that it is impossible for 0 or 1 (the possible sums would only be (0, 1 ,2 ,3 ,4) hence more faces than choices.

What about -1, 1. Theoretically there are enough choices now