Question

На шахматную доску пролили краску. Может ли количество залитых краской клеток быть на 17 меньше количества клеток, оставшихся чистыми?

Answer 1

На шахматной доске 64 клетки. Значит уже нет.
Сам посмотри:
1) 64 - 17 = 47
2) 47 : 2 = ???

47 на 2 не делится.

Ответ: нет

Хотя...

2) 47 : 2 = 23,5
3) 23,5 + 17 = 40,5

Ответ: может

По твоему выбору Выбирай что хочешь =)

Answer 2

Chessboard and Spilled Paint

If paint is spilled on a chessboard, can the number of cells covered in paint be 17 less than the number of cells remaining clean?

The answer is no. The number of cells covered in paint cannot be 17 less than the number of cells remaining clean on a standard 8x8 chessboard.

The total number of cells on a standard 8x8 chessboard is 64. Therefore, if the number of cells covered in paint is 17 less than the number of cells remaining clean, it would imply that there are 47 cells covered in paint and 17 cells remaining clean. However, this is not possible as 47 + 17 = 64, which means all the cells on the chessboard are accounted for, leaving no room for any additional cells.

Therefore, the claim that the number of cells covered in paint can be 17 less than the number of cells remaining clean is not valid.