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Home » Start by examining possible values for \(a\): - Redraw

Start by examining possible values for \(a\): - Redraw

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 $ a_5 = a_4 + a_3 = 8 + 5 = 13 $

📌 Thus, there are 13 valid colorings of the 5 planets with no two adjacent Jupiter-like planets. $ \boxed{13} $

📌 Question: Chase has 5 kiwis, 4 passionfruits, and 3 jackfruits. If he eats one piece of fruit per day for 12 days, and fruits of the same type are indistinguishable, how many distinct eating sequences are possible?

📌 Solution: This is a multinomial coefficient problem. We are arranging 12 fruits where:

📌 5 are kiwis (K),

📌 4 are passionfruits (P),

📌 3 are jackfruits (J),

📌 with indistinguishability within types.

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