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Home » Why Everyone is Talking About Comedy Blue—This Comedy Meme is Unstoppable! - Silent Sales Machine

Why Everyone is Talking About Comedy Blue—This Comedy Meme is Unstoppable! - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 $ S(4,3) = 6 $

📌 $ S(5,3) = 25 $

📌 $ S(6,3) = 90 $

📌 $ S(7,3) = 3 \cdot S(6,3) + S(6,2) $

📌 We compute $ S(6,2) = 2 \cdot S(5,2) + S(5,1) = 2 \cdot 15 + 1 = 31 $, or known $ S(6,2) = 31 $. Then:

📌 S(7,3) = 3 \cdot 90 + 31 = 270 + 31 = 301.

📌 Thus, the number of ways to partition the 7 distinct artifacts into 3 indistinguishable non-empty containers is $ \boxed{301} $.

📌 Question: A science educator is designing a virtual lab where students simulate flipping 6 fair coins and rolling a single 6-sided die. What is the probability that the number of heads equals the value rolled on the die?

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