Question 119
Consider $2 \times 60$ grids where each cell contains a distinct number from $1$ to $120$. For each grid, calculate the sum of the elements in each row and each column, resulting in $62$ sums. A grid is called an *even grid* if all $62$ sums are even numbers, and an *odd grid* if all $62$ sums are odd numbers. Which type of grid (even or odd) occurs more frequently?
(Gantumur Choijilsuren)
(Gantumur Choijilsuren)