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dominoes in a 3x3 square

Source: 2020 Dürer Math Competition Finals Day2 E1 https://artofproblemsolving.com/community/c1622639_2020_

January 7, 2022
combinatoricsTilingtiles

Problem Statement

How many ways are there to tile a 3×33 \times 3 square with 44 dominoes of size 1×21 \times 2 and 11 domino of size 1×11 \times 1?
Tilings that can be obtained from each other by rotating the square are considered different. Dominoes of the same size are completely identical
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