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Home » Lich Adventure Time Hacked: The Super Secret Power You’ve Been Missing! - Abu Waleed Tea

Lich Adventure Time Hacked: The Super Secret Power You’ve Been Missing! - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Total: $7$ partitions. Since the slots are indistinct, these are all valid and distinct only by labeling of the subsets.

📌 So total number of configurations is:

📌 S(4,1) + S(4,2) = 1 + 7 = 8

📌 Thus, the number of distinct configurations is $\boxed{8}$.

📌 Question: A science administrator evaluates 6 unique grant proposals and wishes to distribute them into 3 identical review teams, with each team receiving at least one proposal. How many ways can this be done?

📌 Solution: We are partitioning $6$ distinguishable objects (proposals) into $3$ non-empty, indistinct subsets (teams). This is given by the Stirling number of the second kind $S(6,3)$.

📌 We compute $S(6,3)$ using recurrence:

📌 $S(6,3) = 3 \cdot S(5,3) + S(5,2)$

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30 × 3 / 8 = 11.25 → but 8 × 11 = 88, 8 × 12 = 96 → none divisible
But in such contexts, the problem likely expects 11.25? Unlikely
Alternative: perhaps "3/8" is exact — answer should be 11.25? But not...
Wait: maybe 40% of 75 is exactly 30, and 3/8 of 30 is 11.25 — but in r...
But for math problem, we compute mathematically:
Number = 75 × 0.4 × (3/8) = 30 × 3 / 8 = 90 / 8 = 45 / 4 = 11.25
But final answer must be integer — contradiction
Re-express: perhaps the percentage is approximate? But stated as exact
Best: accept fractional result as mathematical expression, but round a...
However, in the context of the problem, and since others are exact, li...

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