If all nine items are included in every arrangement, like 9 books
on a shelf with no spaces, then there are "9 factorial" =
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 = 362,880 different ways to line them up.
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120 ways
How many different ways can we arrange 9 objects taken 3 at a time?
In 6 way
120
In 1,307,674,368,000, or 15! ways.