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Home » Happy Tuesday Meme That’ll Make You Smile Bigger Than Ever! - AMAZONAWS

Happy Tuesday Meme That’ll Make You Smile Bigger Than Ever! - AMAZONAWS

Happy Tuesday Meme That’ll Make You Smile Bigger Than Ever!

📅 March 6, 2026 👤 scraface

Mar 06, 2026

Happy Tuesday Meme That’ll Make You Smile Bigger Than Ever!

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📌 Question: A nanotechnologist is designing a material with 5 types of quantum dots and 7 types of nanotubes. If 3 components are randomly selected, what is the probability that at least one is a quantum dot?

📌 Solution: The total number of ways to select 5 startups is $\binom{9}{5}$. The favorable case is $\binom{4}{3} \cdot \binom{5}{2}$ (3 solar and 2 non-solar). Thus, the probability is $\frac{4 \cdot 10}{126} = \frac{40}{126} = \frac{20}{63}$. \boxed{\dfrac{20}{63}}### Question 1

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