1) We can do what we did for problem 6 on the 10/18/16 meeting. We know the answers are 420 and 420.
2)We can fit 8 rooks, as they would have to be diagonal because any on the same line would be attacking reach other, and it is an 8×8 so the answer is 8 rooks.Also, we can have 8 bishops on the bottom of the board, and 6 on the top leads to a total of 14. We have 6 not 8 because the spaces on the ends can’t be there or else they will attack each other.
3)We can add up the number of squares by going 1×1, 2×2, and so on to 5×5. The total is 25+16+9+4+1 which is equal is to 55.