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Home » CorrectQuestion: In propositional logic, which of the following is a tautology? - Silent Sales Machine

CorrectQuestion: In propositional logic, which of the following is a tautology? - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Since category D has no markers selected, it does not contribute to the calculation.

📌 \[ 15 \times 6 \times 6 = 540 \]

📌 Calculate the total number of ways to choose any 4 markers from the 24 available markers (6 in each category):

📌 \[ \binom{24}{4} = \frac{24 \times 23 \times 22 \times 21}{4 \times 3 \times 2 \times 1} = 10,626 \]

📌 \[ \frac{540}{10,626} \]

📌 \[ \frac{540}{10,626} = \frac{90}{1,771} \]

📌 \[\boxed{\frac{90}{1,771}}\]

📌 A social impact strategist is organizing a technology education initiative where participants can choose from 4 coding workshops, 6 design workshops, and 5 entrepreneurship workshops. If a participant randomly selects 3 workshops, what is the probability that they choose one from each category?

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