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Home » Subtract 30: $ x = 20 $. - Dyverse

Subtract 30: $ x = 20 $. - Dyverse

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Hence, the number of distinct circular arrangements is $oxed{120}$.

📌 Question: An ice cream truck offers 8 organic fruit sorbets and 5 blend styles. A customer chooses 2 different sorbets and 1 blend style. How many distinct combinations are possible if the order of sorbets does not matter?

📌 Solution: Choose 2 sorbets from 8: $inom{8}{2} = rac{8 \cdot 7}{2} = 28$.

📌 Choose 1 blend style from 5: $inom{5}{1} = 5$.

📌 Total combinations: $28 \cdot 5 = 140$.

📌 Thus, the number of distinct combinations is $oxed{140}$.

📌 Question: A researcher analyzing gene expression in 12 modified rice plants finds that 9 show enhanced drought resistance. If 4 plants are randomly selected for detailed genomic sequencing, what is the probability that at least 3 of them have enhanced resistance?

📌 Solution: We compute the probability of exactly 3 or exactly 4 successful selections (enhanced resistance).

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