I think best way to do it is to add a sequencing column S to the original table that will number the random numbers from 1 to N rows. When inserting to the new table, use X select statement that "chooses" random numbers between 1 AND N. Do X times:
INSERT INTO NEW_table ...... SELECT .... from OLD_TABLES WHERE S = random_nbr (from 1 to N)
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This was first published in February 2003