How many such binary search trees do we have

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Reference no: EM132400934

Suppose we had a binary search tree where each node's value is a letter of the alphabet, and the comparison between two letters is based on alphabetical order.

How many such binary search trees do we have that obey all of the following properties?

  • The tree's values consists of only the letters A through M, inclusive (thirteen letters total).
  • Each letter appears exactly once in the tree.
  • The root node of the tree is the letter 'E'
  • The root's right hand child is the letter 'J'

Explain your answer.

Reference no: EM132400934

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