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Home » \[ 400a + 20b + 2 = 50 \] - AMAZONAWS

\[ 400a + 20b + 2 = 50 \] - AMAZONAWS

Understanding the Equation: 400a + 20b + 2 = 50 in Linear Algebra

📅 March 6, 2026 👤 scraface
Mar 06, 2026
\[ 400a + 20b + 2 = 50 \]

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📌 Solution: First, choose 4 distinct layers from 7, which is $ \binom{7}{4} = 35 $. Then, select 2 of these 4 layers to apply the "pump water" operation, which can be done in $ \binom{4}{2} = 6 $ ways. The remaining 2 layers are analyzed without the operation, and the sequence of 4 layers is ordered, giving $ 4! = 24 $ permutations. However, since the operation affects only the selection (not the order of non-pump layers), the total is:
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