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Home » From Just 20 Years Old—These Carnival Ships Are Sliding Into Retirement Now! - ClickBalance

From Just 20 Years Old—These Carnival Ships Are Sliding Into Retirement Now! - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 \frac{6!}{3! \cdot 2! \cdot 1!} = \frac{720}{6 \cdot 2} = \frac{720}{12} = 60

📌 Now, subtract the number of arrangements where the two N's are adjacent.

📌 Treat the two adjacent N's as a single block "NN". Then we are arranging the four units: B, A, A, A, NN — a total of 5 units with 3 identical A's.

📌 Number of such arrangements:

📌 Therefore, the number of arrangements where the two N's are **not adjacent** is:

📌 Thus, the number of valid distinct arrangements is:

📌 \boxed{40}

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