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There are four ways to arrange 10 objects in a rectangular array; 1 x 10, 2 x 5, 5 x 2, and 10 x 1. Two of these patterns are mirror images of two others.

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Q: How many ways can you arrange 10 trophies on a table in a rectangular array?
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How many different ways can you arrange 10 trophies on a table in a rectangular array?

10+9+8+7+6+5+4+3+2+1=45 ways


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