In how many ways can an 8×8 chessboard be tiled with dominoes? Ex-plain your answer.

Expert Solution

ANSWER :-

given that 8*8 chessboard

And we need to find out in how many ways can an 8*8 chessboard be tiled with dominoes.

where 8*8 chessboard is a square shaped and sized chessboard.

EXPLANATION :-

Non-covering dominoes is utilized. We give a basic evidence by logical inconsistency this is beyond the realm of imagination. Assume it were conceivable to totally cover the given chessboard with non-covering dominoes. Presently in any covering, each domino must cover precisely one white square and one dark square. Subsequently the chess board must have the very same number of highly contrasting squares. Be that as it may, on the off chance that you evacuate a square either dark or white, at that point you are diminishing the quantity of squares of that shading. So it is beyond the realm of imagination to expect to tile that chessboard with dominoes.

so that's the reason a chessboard can't tile with dominoes.

Colby Messinger answered 2 years ago

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