Charcoal Clothing: The Dark Trend Taking Over Fashion—YES, It Deserves All the Shade!

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Randy Orton Praises RKO Trend Taking Over the Internet, Says Creator ...

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Randy Orton Praises RKO Trend Taking Over the Internet, Says Creator ...
The Activated Charcoal Trend Is Now Taking Over Your Pizza - Washingtonian
CHARCOAL CLOTHING by CHARCOAL
SCARF – Charcoal Clothing
SIGNATURE POLO BLACK – Charcoal Clothing

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Solution: We are selecting 6 questions from 10 types, with each type used at most twice, and total count exactly 6. We count the number of integer solutions to:
where $x_i$ is the number of times question $i$ is used.
Question: A high school student is simulating dice rolls in a probability experiment. She rolls a fair six-sided die 4 times. What is the probability that exactly two of the rolls result in a prime number, and no two prime-numbered rolls are adjacent?

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