a. Prove that in an 88 checkerboard with alternating black

Chapter 5, Problem 5.162

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a. Prove that in an 88 checkerboard with alternating black and white squares, if the squares in the top right andbottomleftcornersareremovedtheremainingboard cannot be covered with dominoes. (Hint: Mathematical induction is not needed for this proof.) b.H c. Use mathematical induction to prove that for all integers n, if a 2 n2n checkerboard with alternating black and white squares has one white square and one black square removed anywhere on the board, the remaining squares can be covered with dominoes.

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