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Home » $2025 = 3^4 \times 5^2$ - Network4

$2025 = 3^4 \times 5^2$ - Network4

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 $5\binom{8}{5} = 5 \cdot 56 = 280$

📌 $6\binom{8}{6} = 6 \cdot 28 = 168$

📌 $7\binom{8}{7} = 7 \cdot 8 = 56$

📌 $8\binom{8}{8} = 8 \cdot 1 = 8$

📌 Total = $280 + 280 + 168 + 56 + 8 = 792$

📌 Total numerator: $512 + 792 = 1304$

📌 \mathbb{E}[\text{output}] = \frac{1304}{256} = \frac{163}{32} \approx 5.09375

📌 Thus, the expected output is $\boxed{\dfrac{163}{32}}$.

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