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Home » Thus, the number of distinct sequences is $\boxed326592$. - Baxtercollege

Thus, the number of distinct sequences is $\boxed326592$. - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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Multiply both sides by the modular inverse of 5 modulo 7. Since \( 5 \...
a \equiv 3 \cdot 1 = 3 \pmod{7} \implies a = 7b + 3
k = 5(7b + 3) + 3 = 35b + 15 + 3 = 35b + 18
So \( k \equiv 18 \pmod{35} \)
Now include the third congruence: \( k \equiv 2 \pmod{9} \)
Let \( k = 35b + 18 \). Then:
35b + 18 \equiv 2 \pmod{9}
Reduce modulo 9: \( 35 \equiv 8 \mod 9 \), \( 18 \equiv 0 \mod 9 \), s...
8b \equiv 2 \pmod{9}
Multiply both sides by the inverse of 8 modulo 9. Since \( 8 \cdot 8 =...

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