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IMSO 2019 - Math Division - Exploration Question 4

IMSO Maths · IMSO 2019 - Math Division - Exploration

Question 4

In how many ways can two identical checkers be placed on the $3\times3$ grid shown in the diagram below, so that each checker is placed in only one cell, and each cell has at most one checker? Draw all the possible ways on the answer sheet. (Note: If one can obtain one arrangement from another by rotation, then these two arrangements will be only considered as one.)

Question illustration