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Home » Gwent Yourself an Emerald Engagement Ring That Makes Every Proposal Unforgettable - Groen Casting

Gwent Yourself an Emerald Engagement Ring That Makes Every Proposal Unforgettable - Groen Casting

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Solution: We are arranging 7 badges where 3 are identical Robotics (R), 2 are identical Coding (C), and 2 are identical Data Science (D). The number of distinct sequences is the multinomial coefficient:

📌 rac{7!}{3! \cdot 2! \cdot 2!}

📌 $ 7! = 5040 $

📌 $ 3! = 6 $, $ 2! = 2 $, so denominator = $ 6 imes 2 imes 2 = 24 $

📌 rac{5040}{24} = 210

📌 Thus, there are 210 distinct badge sequence orders.

📌 oxed{210}Question: Find all real numbers $ x $ such that $ rac{x+3}{x-2} < 4 $, where $ x

📌 Solution: We begin with the inequality:

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