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pick 3 and pick 4 lottery - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 Ein Unternehmen erzielt im ersten Quartal einen Gewinn von 150.000 $ und steigert seinen Gewinn jedes Quartal um 20 %. Wie hoch wird der Gewinn des Unternehmens im dritten Quartal sein?

📌 #### 96Question: A virologist is studying 8 different antiviral compounds and 5 delivery mechanisms. How many ways can they select 3 compounds and 2 delivery mechanisms for a combined experiment?

📌 Solution: To determine the number of ways to choose 3 compounds from 8 and 2 delivery mechanisms from 5, we use combinations:

📌 Question: A mathematician is applying algebraic topology to analyze data clusters. If there are 12 data points and each point can be assigned to one of 4 distinct topological classes, how many distinct assignments are possible?

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📌 Question: A circular table is to be used for a virology symposium with 5 researchers and 3 industry representatives. If all individuals are distinguishable, how many distinct seating arrangements are possible around the table, assuming rotations are considered the same?

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📌 Here, there are $ 5 + 3 = 8 $ people total, so:

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S = 1 + 2\left( \frac{b + z}{a} + \frac{z}{b} - \frac{z}{a + b} \right...
= 1 + 2z\left( \frac{1}{a} + \frac{1}{b} - \frac{1}{a + b} \right) + 2...
This still depends on \( z \). But since the original expression is ho...
Let \( z = 1 \), \( y = 1 + b \), \( x = 1 + b + a \), with \( a, b >...
S = 1 + 2\left( \frac{1 + b}{a} + \frac{1}{b} - \frac{1}{a + b} \right...
Now define:
f(a, b) = \frac{1 + b}{a} + \frac{1}{b} - \frac{1}{a + b}
We seek to minimize \( S = 1 + 2f(a, b) \), so minimize \( f(a, b) \).
Fix \( b \), and minimize over \( a > 0 \). Note that as \( a \to \inf...
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