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GY-63_MS5611/libraries/statHelpers/investigation.md
rob tillaart 7661eee8b4 2021-01-29
2021-01-29 12:31:58 +01:00

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As the formula for combinations is symmetrical one knows that:

  • if it works for (N, 0..k) it will also work for (N, n-k..n)
  • if it works for (N, 0..k) it will also work for (N-1, 0..k)
  • (n, 0) = 1; (n, 1) = n; (n, 2) = n * (n+1) / 2;
  • from the latter a rule of thumb states that nCr(n,k) < n^k

assume nCr(n,k) > MAXVAL && nCr(n,k-1) <= MAXVAL

k = 2log(MAXVAL) / 2log(n); zoiets.