Bob wins if and only if \( n \equiv 0 \text{ or } 2 \pmod{5} \). Count \( n \leq 2024 \) with these residues: - Multiples of 5 up to 2024: 404 numbers - Numbers \( \equiv 2 \pmod{5} \) up to 2024: 405 numbers Total = \(404 + 405 = \boxed{809}\)
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Discussion about Bob wins if and only if \( n \equiv 0 \text{ or } 2 \pmod{5} \).
Count \( n \leq 2024 \) with these residues:
- Multiples of 5 up to 2024: 404 numbers
- Numbers \( \equiv 2 \pmod{5} \) up to 2024: 405 numbers
Total = \(404 + 405 = \boxed{809}\)
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Bob wins if and only if \( n \equiv 0 \text{ or } 2 \pmod{5} \). Count \( n \leq 2024 \) with these residues: - Multiples of 5 up to 2024: 404 numbers - Numbers \( \equiv 2 \pmod{5} \) up to 2024: 405 numbers Total = \(404 + 405 = \boxed{809}\)
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