# Possible arrangements of Scrabble tiles?

One for the mathematicians...
Assuming a standard game of Scrabble, how many different combinations of tiles are there on a playing board (regardless of whether they spell words), and is it possible that with all the Scrabble games sold that each and every one of those layouts has been seen, or if not will it...
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One for the mathematicians...

Assuming a standard game of Scrabble, how many different combinations of tiles are there on a playing board (regardless of whether they spell words), and is it possible that with all the Scrabble games sold that each and every one of those layouts has been seen, or if not will it ever be possible assuming the indefinite survival of the human race and Scrabble?

Assuming a standard game of Scrabble, how many different combinations of tiles are there on a playing board (regardless of whether they spell words), and is it possible that with all the Scrabble games sold that each and every one of those layouts has been seen, or if not will it ever be possible assuming the indefinite survival of the human race and Scrabble?

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