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2022 IIMC keystage2-EMIC individual Question 15

xIMC · 2022 IIMC keystage2-EMIC individual

Question 15

We wish to place some stars into the unit cells of the given $6\times6$ table shown below such that the number written at the top of each column equals the total number of stars in that column, while the number written to the left of each row equals the total number of stars in that row. In how many different ways can the stars be placed? (Note: Each cell can contain at most one star.)

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