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Home » This Ermac Breakthrough Will Change How You Use the Tech Forever! - Databee Business Systems

This Ermac Breakthrough Will Change How You Use the Tech Forever! - Databee Business Systems

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 Question: A philosopher of science is analyzing 12 key scientific theories, 5 of which were proposed in the 20th century. If she randomly selects 4 for comparative historical analysis, what is the probability that exactly 2 of them are from the 20th century?

📌 We use combinations to find the probability.

📌 Total number of ways to choose 4 theories from 12:

📌 \binom{12}{4} = 495

📌 Number of favorable outcomes (choosing 2 from the 5 20th-century theories and 2 from the 7 others):

📌 \binom{5}{2} \cdot \binom{7}{2} = 10 \cdot 21 = 210

📌 \frac{210}{495} = \frac{14}{33}

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\[ a = \sqrt{36} \]
The base of the ladder is 6 meters from the wall.
A circle is inscribed in a square with a side length of 14 cm. Calcula...
The diameter of the circle is equal to the side length of the square,...
\[ r = \frac{14}{2} = 7 \, \text{cm} \]
The area \( A \) of the circle is:
\[ A = \pi r^2 \]
\[ A = 3.14 \times 7^2 \]
\[ A = 3.14 \times 49 \]
\[ A = 153.86 \]

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