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Home » $1 \cdot 3 \cdot 5 \cdot 7 = 105$ - Treasure Valley Movers

$1 \cdot 3 \cdot 5 \cdot 7 = 105$ - Treasure Valley Movers

📅 April 16, 2026 👤 scraface

Apr 16, 2026

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\binom{8}{4} \cdot \binom{12}{2}
\binom{8}{4} = 70,\quad \binom{12}{2} = 66,\quad \binom{20}{6} = 38760
\frac{70 \cdot 66}{38760} = \frac{4620}{38760} = \frac{77}{646}
\boxed{\frac{77}{646}}
Question: A philosopher of science is analyzing 12 key scientific theo...
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 theor...
\binom{5}{2} \cdot \binom{7}{2} = 10 \cdot 21 = 210

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