You could make a pyramid. Or you could make a rectangle shape. A cone would be unique.
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To arrange 3 algebra books and 3 geometry books on a shelf so that no two books of the same type are next to each other, you can use the concept of permutations. There are 3! ways to arrange the algebra books and 3! ways to arrange the geometry books. This gives a total of 3! * 3! = 36 ways to arrange the books on the shelf such that no two books of the same type are next to each other.
come off it! There are 36 x 35 x 34 x 33 x 32 different arrangements!
6 and 6