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How many different binary search trees can be constructed using the following five keys if they can be inserted in any order? 59, 31, 81,

How many different binary search trees can be constructed using the following five keys if they can be inserted in any order?

59, 31, 81, -9, 87

How many trees with 0 nodes can possibly exist? 1 node? 2 nodes? 3 nodes? 4 nodes? 5 nodes?

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