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In a gymnastics club, 10 gymnasts practice forming a human pyramid. The pyramid uses only 6 gymnasts at any one time. There are 3 gymnasts

In a gymnastics club, 10 gymnasts practice forming a human pyramid. The pyramid uses only

6 gymnasts at any one time. There are 3 gymnasts in the bottom row, 2 in the second row, and

1 at the top.

If any gymnast can fill any position in the pyramid, how manydifferentarrangements of gymnasts are there?

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