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Home » Discover the Ultimate Buchanan Pineapple: This Fruit Will Change Everything! - 500apps

Discover the Ultimate Buchanan Pineapple: This Fruit Will Change Everything! - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Subtract sequences missing at least one type:
Let $ S = 4^6 $
Use inclusion-exclusion:
ext{Number of surjective sequences} = \sum_{k=0}^{4} (-1)^k inom{4}{k...
$ k = 0 $: $ (-1)^0 inom{4}{0} \cdot 4^6 = 1 \cdot 1 \cdot 4096 = 409...
$ k = 1 $: $ (-1)^1 inom{4}{1} \cdot 3^6 = -1 \cdot 4 \cdot 729 = -29...
$ k = 2 $: $ (-1)^2 inom{4}{2} \cdot 2^6 = 1 \cdot 6 \cdot 64 = 384 $
$ k = 3 $: $ (-1)^3 inom{4}{3} \cdot 1^6 = -1 \cdot 4 \cdot 1 = -4 $
$ k = 4 $: $ (-1)^4 inom{4}{4} \cdot 0^6 = 1 \cdot 1 \cdot 0 = 0 $
- 2916 + 384 - 4 + 0 = 1560

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