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how long was todd chrisley in jail for - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 $ a_3 = 2(a_2 + b_2) = 2(6 + 3) = 18 $

📌 $ a_4 = 2(a_3 + b_3) = 2(18 + 6) = 48 $

📌 $ a_5 = 2(a_4 + b_4) = 2(48 + 18) = 132 $

📌 $ a_6 = 2(a_5 + b_5) = 2(132 + 48) = 360 $

📌 Question: An ichthyologist tags 3 species of fish in a reef: 4 parrotfish, 3 angelfish, and 2 clownfish. Over 9 days, she observes one tagged fish per day, recording only the species. Assuming fish of the same species are indistinguishable, how many distinct observation sequences are possible if no two clownfish are observed consecutively?

📌 We are to count the number of sequences of length 9 using:

📌 Step 1: Arrange non-clownfish first.

📌 Number of distinct arrangements of these 7 items:

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