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How many ways are there to list 90 numbers consisting of ten ones, ten twos, ..., ten nines in a row so that for each j, 1 = j = 9, no number bigger than j lies to the left of that j which is farthest to the left?

How many ways are there to list 90 numbers consisting of
ten ones, ten twos, ..., ten nines in a row so that for each
j, 1 = j = 9, no number bigger than j lies to the left of that
j which is farthest to the left?

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