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Home » Total marbles = \( 3 + 4 + 5 = 12 \). - Dyverse

Total marbles = \( 3 + 4 + 5 = 12 \). - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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🔥 Popular Posts

\boxed{\frac{17576}{1030301}}
Question: A historian is analyzing three randomly selected scientific...
Solution: The total number of ways to choose 3 papers from 12 is:
\binom{12}{3} = 220
To choose exactly 2 papers by Newton and 1 by Leibniz:
\binom{5}{2} \cdot \binom{7}{1} = 10 \cdot 7 = 70
\frac{70}{220} = \frac{7}{22}
\boxed{\frac{7}{22}}
Question: A geotechnical engineer is testing soil samples from 10 diff...
Solution: The total number of ways to choose 3 sites from 10 is:

📝 Recent Posts

= x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (-b + a)x + b
Add \(ax + c\):
x^4 + (a - 1)x^3 + (b - a + 1)x^2 + (-b + a + a)x + (b + c) = x^4 + (a...
Match coefficients:
\(x^4\): 1 = 1 â
\(x^3\): \(a - 1 = 3 \Rightarrow a = 4\)
\(x^2\): \(b - a + 1 = -2\), \(b - 4 + 1 = -2 \Rightarrow b = 1\)
\(x\): \(2a - b = 1 \Rightarrow 8 - 1 = 7
e 1\) â
Mistake â try correct expansion:

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