It has been a very long time since the last Brainsteem mathematical puzzle, but I feel it is time to reboot this feature!
As always, these are designed to be done by hand; problems in computational mathematics will be posted under the "Brainsteem Compute" title.
A new crypto, 7OKEN, has 1,000,000 tokens to distribute at their first ICO. The tokens will be issued randomly with probabilities commensurate with the number of tickets sold. The 7OKENs are distributed under the following rules: an individual shall only receive tokens that equal a power of 7, that is, 1, 7, 49, 343, and so on; no individual shall receive more than one set of tokens; and no more than 5 individuals shall receive the same number of tokens.
In how many ways can the tokens be distributed and how many people will receive at least 1 token?
Upvotes will be given for interesting answers and solutions.
More Brainsteems coming soon!
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Please Comment, Resteem and Upvote. Thanks!
