We number both the rows and the columns of an 8 \times 8 chess-boa | Filo

Class 11

Math

Co-ordinate Geometry

Straight Lines

535
150

We number both the rows and the columns of an chess-board with the numbers to . A number of grains are placed onto each square, in such a way that the number of grains on a certain square equals the product of its row and column numbers. How many grains are there on the entire chessboard?

Solution: In the first column, we have, successively,
grains.
So, in the first column :
In the second column :
In the third column :
Finally, in the eighth column :
Since , there are grains on the board.
535
150

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