Discussion
In a binomial tree what is the order of the second sub-tree of the root (from the height) ?
Answer: B
The key's answer is 1.
A binomial tree Bk has a root whose sub-trees are themselves binomial trees Bk-1, Bk-2, ..., B1, B0. Read from the lowest height upward, the sub-trees are B0, B1, B2 and so on, so the second one is B1, of order 1, in any binomial tree of order 2 or more.
Counted from the tallest sub-tree instead, the second is Bk-2, whose order depends on k, so the question has a single answer only on the first reading. Order 0 is the first sub-tree on that reading, and 2 is the third.
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