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Home » Shocking Fitness Breakthrough: Experts Confirm PROTÉ Works Like a Hidden Superfood! - AMAZONAWS

Shocking Fitness Breakthrough: Experts Confirm PROTÉ Works Like a Hidden Superfood! - AMAZONAWS

Shocking Fitness Breakthrough: Experts Confirm PROTÉ Works Like a Hidden Superfood!

📅 March 6, 2026 👤 scraface
Mar 06, 2026
Shocking Fitness Breakthrough: Experts Confirm PROTÉ Works Like a Hidden Superfood!

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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} $.
📌 Let $d = \gcd(a,b)$. Then we can write $a = dx$, $b = dy$, where $\gcd(x,y) = 1$. Since $a + b = 1000$, we have:
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📌 We compute $S(4,2)$:
📌 $\{1,2\}, \{3,4\}$

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