MathDB

numbers 1 to 8 in a 8x8 board

Source: New Zealand NZMOC Camp Selection Problems 2010 Juniors 1

September 18, 2021

combinatorics

Problem Statement

We number both the rows and the columns of an

8 \times 8

chessboard with the numbers

1

8

. Some grains of rice are placed on each square, in such a way that the number of grains on each square is equal to the product of the row and column numbers of the square. How many grains of rice are there on the entire chessboard?

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