Question 24 of 33intermediate🔍 AnalyzeShort Answer2 marks

Which other grids can be filled in multiple ways? What could be the reason?

Correct Answer

Grids with more empty cells (fewer given numbers) can typically be filled in multiple ways.

Reason: When there are fewer constraints (given numbers), there are more degrees of freedom in choosing values for the empty cells. Each additional given number reduces the number of possible solutions.

Exercise: Figure it Out (Section 14) | Q: 4 | (Page Page 23)
For More Understanding

Explanation

The chapter explores integer grids. Grids with fewer given numbers have more possible solutions because there are more variables that can be adjusted while still satisfying the border sum constraint.

Solution Steps

  1. Grids with more empty cells (fewer given numbers) can be filled in multiple ways.

  2. Fewer constraints (given numbers) mean more degrees of freedom in choosing values.

  3. Each additional given number reduces the number of possible solutions.

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