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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
You are right. I know you are not supposed to 'invent the wheel again' but this exercise is great to learn algorithmic thinking and complex concepts like recursion.
8**7 = 2' 097' 152. And this is already more than the amount you mentioned.
The description is clear about its purpose. Your comment adds no additional information.
It is correct, you can check it for yourself by calculating it using calculator or by hand