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Home » The Ultimate List of Absolute Batman Villains That Will Shock Every Fan Forever! - Groen Casting

The Ultimate List of Absolute Batman Villains That Will Shock Every Fan Forever! - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Partitions into 1 subset: only $1$ way — all satellites in one slot.

📌 Partitions into 2 non-empty indistinct subsets: this is the number of equivalence classes under swapping, given by the Stirling number of the second kind $S(4,2)$, which counts the number of ways to partition 4 distinguishable objects into 2 non-empty indistinct subsets.

📌 We compute $S(4,2)$:

📌 $S(4,2) = 2^2 - 1 = 7$? No — standard recurrence:

📌 $S(3,2) = 2 \cdot 1 + 1 = 3$

📌 Alternatively: list all such partitions:

📌 $\{1,2,3\}, \{4\}$

📌 $\{1,2,4\}, \{3\}$

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Calculate \( U(t) \):
\[ U(t) = 50,000 \times 3.138428 \approx 156,921.4 \]
Round to the nearest whole number:
\[ U(t) \approx 156,921 \]
#### 156921
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