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Imagine putting them on a shelf from left to right. There are 16 ways to choose the first one. Then you have 15 left so there are 15 ways of choosing one of those to be next on the shelf. Then 13 ways, 12 ways and so on until you have only one trophy left to put on the right-hand side.

That means there are 16 x 15 x 14 x 13....and so on ways. This is called "factorial 16" and is written down as 16!

On many calculators there is a n! button which will calculate factorial "any whole number". In the present case you simply press the buttons for 16 first and then press the n! button, which will give you 1307674368000

So it would take you quite a while to arrange them in so many different ways.

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13y ago

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