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Home » Let’s compute: number of ways to choose the chosen word (repeated): 4 - Get link 4share

Let’s compute: number of ways to choose the chosen word (repeated): 4 - Get link 4share

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \( c = 0 \) → 1 choice

📌 Total: \( 2 \times 2 \times 1 = 4 \) perfect square divisors.

📌 \( 2^0 \cdot 3^0 \cdot 5^0 = 1 \)

📌 \( 2^2 \cdot 3^0 \cdot 5^0 = 4 \)

📌 \( 2^0 \cdot 3^2 \cdot 5^0 = 9 \)

📌 \( 2^2 \cdot 3^2 \cdot 5^0 = 4 \cdot 9 = 36 \)

📌 Sum: \( 1 + 4 + 9 + 36 = 50 \)

📌 Alternatively: sum = \( (1 + 2^2)(1 + 3^2)(1 + 5^0) \) but note: the general formula for sum of square divisors of \( n = \prod p^{e_i} \) is \( \prod \left( \sum_{k=0}^{\lfloor e_i/2 \rfloor} p^{2k} \right) \). Here, only up to \( c=0 \), so:

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