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Home » The Ultimate Outdoor Pool Table That’ll Make Summer Unforgettable! - AMAZONAWS

The Ultimate Outdoor Pool Table That’ll Make Summer Unforgettable! - AMAZONAWS

The Ultimate Outdoor Pool Table That’ll Make Summer Unforgettable

📅 March 6, 2026 👤 scraface

Mar 06, 2026

The Ultimate Outdoor Pool Table That’ll Make Summer Unforgettable!

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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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📌 $S(4,2) = 2 \cdot S(3,2) + S(3,1) = 2 \cdot 3 + 1 = 7$

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📌 To find the $y$-intercept, set $x = 0$ in the equation of the line $3x - 2y = 6$ and solve for $y$:

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