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Home » Inside Adam Levine’s Impressive $250 Million Net Worth—Fact or Fiction? - Simpleprint

Inside Adam Levine’s Impressive $250 Million Net Worth—Fact or Fiction? - Simpleprint

📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 Solution: We are assigning weather types to 7 days such that 3 are rainy (R), 2 are cloudy (C), and 2 are sunny (S). Since the days are distinct but the types are grouped, the number of distinct sequences is the multinomial coefficient:

📌 rac{7!}{3! \cdot 2! \cdot 2!} = rac{5040}{6 \cdot 2 \cdot 2} = rac{5040}{24} = 210

📌 Therefore, the number of possible weather sequences is $oxed{210}$.

📌 Question: A science communicator is creating a 6-part video series on fundamental particles, choosing episodes on quarks, leptons, bosons, photons, and neutrinos. If there are 2 quark episodes, 2 lepton episodes, and 2 boson episodes (each topic has identical content within its category), how many distinct orders can the videos be released in?

📌 Solution: We are arranging 6 video episodes where there are 2 identical quark episodes (Q), 2 identical lepton episodes (L), and 2 identical boson episodes (B). The number of distinct release sequences is given by:

📌 rac{6!}{2! \cdot 2! \cdot 2!} = rac{720}{2 \cdot 2 \cdot 2} = rac{720}{8} = 90

📌 Hence, the number of distinct release orders is $oxed{90}$.

📌 Question: Three distinct prime numbers less than 50 are selected at random without replacement. What is the probability that their sum is even?

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