Question: 2 Counting Binary Trees (30 pts) How many binary tree shapes of n nodes are there with height n1 ? Prove your answer. Hint: use

2 Counting Binary Trees (30 pts) How many binary tree shapes

2 Counting Binary Trees (30 pts) How many binary tree shapes of n nodes are there with height n1 ? Prove your answer. Hint: use induction. To make a good guess, try drawing all possible trees for heights 0,1,2, and identify the pattern

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c. What were you expected to do when you grew up?

d. How were you expected to contribute to family life?

e. What do you know about your ethnic background?