How many possible binary search trees can be made with the keys 1, 2, 3?123456Submit
Question
Solution 1
The number of binary search trees that can be made with n distinct keys is given by the nth Catalan number. The formula for the nth Catalan number is:
Cn = (2n choose n) / (n + 1)
For n = 3, the number of possible binary search trees is:
C3 = (2*3 choose 3) / (3 + 1) = (6 choose 3) / 4 = 20 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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