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2015 CIMC keystage3-IWYMIC team Question 4

xIMC · 2015 CIMC keystage3-IWYMIC team

Question 4

There is a $4\times4$ grid posted on the wall. Find the number of ways of placing two identical red counters and two identical blue counters on four different squares of the grid such that no column or row has two counters of the same color.