A discrete mathematics problem by Rajat Bhagat

On a \( 9 \times 9 \) point grid, insect A stands on the bottom-left corner and insect B stands on the top-right corner. They start moving towards each other at the same constant speed. A can move only to the right and up along the lines, while B can move only to the left and down along the lines of the board. Find the total number of ways the two insects can meet at the same point during their trip.

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