Core Module – Latin Squares (Set 2)

Topic: Latin Squares • Difficulty: medium • Questions: 10

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Questions in this Set

In a 3×3 Latin square using symbols ★ ● ▲, row 1 = [★, ●, ▲], row 2 = [●, ▲, ★]. What is row 3?

A 4×4 Latin square uses letters A B C D. Row 1=[A,B,C,D], Row 2=[B,A,D,C], Row 3=[C,D,A,B]. What is...

In a 3×3 grid using numbers 1,2,3: cell(1,1)=1, cell(1,2)=2, cell(2,1)=3. What is cell(2,2)?

A Latin square uses colors Red(R), Blue(B), Green(G). If the diagonal is all R, what is true?

Given a 3×3 Latin square partially filled: row1=[X,Y,Z], row2=[Y,?,X]. What is the missing cell?

How many distinct 2×2 Latin squares can be made using symbols A and B?

In a 4×4 Latin square, if rows 1-3 are filled correctly, how many ways can row 4 be completed?

A 3×3 Latin square uses shapes ◆◇○. Row1=[◆,◇,○], Row3=[○,◆,◇]. What must row 2, column 1 be?

Which property is NOT required by a Latin square?

A 3×3 Latin square has cell(1,3)=A and cell(3,1)=A. Can cell(2,2)=A?