Green Frog Escape
A green frog fell to the bottom of 20 meters well. In each day the frog may jump 1 meter up or take a rest for 1 day where he is. The frog can not stay in one place for more than two days. If the frog manages to escape from the well in 24 days. Find the total number of ways that the frog can make to escape?
Inspired by [Agnishom Chattopadhyay](https://brilliant.org/problems/descending-monkey/?ref_id=1544139
The answer is 3876.
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1 solution
The answer = 1 9 C 4
Remember that the frog will escape once it reaches the last meter, therefore the frog will spend 2 3 days while climbing the first 1 9 meters. So, the frog will stay extra 4 days during climbing the first 1 9 meters and then escapes in the 2 4 t h day and the answer is to select 4 different places from the first 1 9 meters in which the frog will stay for two days.