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\(\boxed{2 \pm \sqrt6}\)1. **Frage: - iBuildNew

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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\sum_{r=1}^{\min(6,4)} S(6, r)
We calculate each relevant Stirling number:
\( S(6, 1) = 1 \) (all artifacts in one bin)
\( S(6, 2) = 31 \) (two non-empty bins)
\( S(6, 3) = 90 \) (three non-empty bins)
\( S(6, 4) = 65 \) (four non-empty bins)
Summing these:
+ 31 + 90 + 65 = 187
Thus, the total number of distinct distributions is:
oxed{187}

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