Let n be the number of possible ways to place six orange balls, six black balls, and six white balls in a circle (two placements are considered equivalent if one can be rotated to fit the other). What is the remainder when n is divided by 1000?
Let n be the number of possible ways to place six orange balls, six black balls, and six white balls in a circle (two placements are considered equivalent if one can be rotated to fit the other). What is the remainder when n is divided by 1000?