(A) Prove or Disprove That A $6 \times 6$ Checkerboard with Four Squares Removed Can Be Covered with Straight

question 9

Essay

(a) Prove or disprove that a $6 \times 6$ checkerboard with four squares removed can be covered with straight triominoes.
(b) Prove or disprove that an $8 \times 8$ checkerboard with four squares removed can be covered with straight triominoes.

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Definitions:

Parameter

A characteristic or constant factor that can be measured and used to describe a system or set the conditions of an experiment.

Statistic

A numerical value that represents a summary measure of a sample, used to estimate parameters of the population.

Commuting Distance

The distance that an individual travels from their home to their place of work or study.

Parameter

A numerical characteristic or measure that describes and summarizes a whole population.