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Home » This $500K S&P 500 Mutual Fund Just Doubled Your Retirement Savings—No Risk? - Treasure Valley Movers

This $500K S&P 500 Mutual Fund Just Doubled Your Retirement Savings—No Risk? - Treasure Valley Movers

📅 April 18, 2026 👤 scraface

Apr 18, 2026

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📌 Fill the remaining 5 positions:

📌 After placing "333", we have 5 positions left. Each of these can be either a 3 or a 4, except that no additional block of three consecutive 3's is allowed. We need to ensure that no new block of three consecutive 3's is formed.

📌 Count valid configurations for each block position:

📌 If "333" starts at position 1:

📌 The sequence is "333xxxxx". The fourth digit cannot be 3 (to avoid "3333"), so it must be 4. The remaining 4 digits can be either 3 or 4, giving \(2^4 = 16\) configurations.

📌 If "333" starts at position 2:

📌 The sequence is "x333xxxx". The first digit can be 3 or 4 (2 choices), and the fifth digit must be 4 to avoid "3333". The last 3 digits can be either 3 or 4, giving \(2 \times 2^3 = 16\) configurations.

📌 If "333" starts at position 3:

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