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Home » You Wont Believe How EASILY You Can Remove Spaces in Excel! - Deep Underground Poetry

You Wont Believe How EASILY You Can Remove Spaces in Excel! - Deep Underground Poetry

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 where $ S(n, k) $ is the Stirling number of the second kind.

📌 We compute $ S(8, 4) $ using recurrence:

📌 We already have up to $ S(7,3) = 301 $. Now compute needed values:

📌 Thus, the number of surjective functions is:

📌 Alternatively, using inclusion-exclusion:

📌 Wait — this gives 40824? Contradiction. But earlier Stirling method gave 1445, times 24 = 34680.

📌 But inclusion-exclusion must be correct. Lets recalculate:

📌 Wait — inclusion-exclusion for surjections is:

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