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Home » This Simple 1/16 to Decimal Conversion Will Save You Time Forever! - Abbey Badges

This Simple 1/16 to Decimal Conversion Will Save You Time Forever! - Abbey Badges

📅 February 26, 2026 👤 scraface

Feb 26, 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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Next, within each block, the discoveries can be arranged among themsel...
The 3 discoveries in the 17th century block can be arranged in \(3! =...
The 4 discoveries in the 18th century block can be arranged in \(4! =...
The 2 discoveries in the 19th century block can be arranged in \(2! =...
Therefore, the total number of distinct arrangements is the product of...
3! \times 3! \times 4! \times 2! \times 2! = 6 \times 6 \times 24 \tim...
Calculate step-by-step:
\times 24 = 864
\times 2 = 1728
\times 2 = 3456

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