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I have been looking at permitations and combinations section and the information is great but I want to try and take this a step further but I do not know how. What I am trying to find is how many lottery combinations there would be (given 6 from 49 numbers) where there are no more than 3 numbers in a row of 10 (i.e. between 1-9, 10-19, 20-29, 30-39 and 40-49). Thanks for your time and hopefully you can help.
That’s an interesting restriction to explore! You’d need to calculate the total combinations first, then subtract those violating the “no more than 3 per decade” rule. It becomes a combinatorial partitioning problem. Generating functions or programming could help handle the counting efficiently.
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