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boy returns lost ring to owner - AdVision eCommerce

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 $ 9! = 362880 $

📌 $ 4! = 24 $, $ 3! = 6 $, $ 2! = 2 $

📌 Denominator: $ 24 imes 6 imes 2 = 288 $

📌 rac{362880}{288} = 1260

📌 Thus, there are 1260 distinct token sequences.

📌 oxed{1260}

📌 Question: A science educator assigns 7 unique digital badgesâ3 for Robotics, 2 for Coding, and 2 for Data Scienceâto students over a week, one badge per day. If the badges within each category are indistinguishable, how many distinct daily sequences can be created?

📌 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:

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