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Home » The P&ID Path to Safer, Smarter Chemical Plants—You Need to See This! - AMAZONAWS

The P&ID Path to Safer, Smarter Chemical Plants—You Need to See This! - AMAZONAWS

The P&ID Path to Safer, Smarter Chemical Plants—You Need to See This!

📅 March 6, 2026 👤 scraface
Mar 06, 2026
The P&ID Path to Safer, Smarter Chemical Plants—You Need to See This!

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📌 Solution: The problem requires counting the number of ways to partition 4 distinct items into 2 non-empty identical subsets. This is given by the Stirling numbers of the second kind, $ S(4, 2) $. The formula for $ S(n, k) $ is $ S(n, k) = S(n-1, k-1) + k \cdot S(n-1, k) $. Using known values, $ S(4, 2) = 7 $. Thus, the number of ways is $ \boxed{7} $.
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📌 Therefore, the solution is \( x = \frac{3}{2} \).

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