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a rose for emily - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Solution: The herpetologist is observing 9 distinct species (5 frogs + 4 snakes), and each species is observed exactly once over 9 days. Since all species are distinct and order matters, the number of sequences is simply the number of permutations of 9 distinct items:

📌 Question: A marine engineer is programming an underwater robot to respond to 3 types of underwater signals: sonar pings (S), light flashes (L), and pressure changes (P). If the robot sends a sequence of 8 signals consisting of 3 Ss, 3 Ls, and 2 Ps, how many distinct signal sequences can be created?

📌 Solution: We are arranging 8 signals where there are 3 Ss, 3 Ls, and 2 Ps. Since the total number of signals is 8 and some are repeated, the number of distinct sequences is given by the multinomial coefficient:

📌 Question: A science communicator is creating a 7-part video series on famous scientists, and chooses 3 videos on physicists, 2 on chemists, and 2 on biologists, in any order. How many different schedules can be made for the 7-episode series if videos on the same field are indistinguishable?

📌 Solution: We are arranging 7 episodes where 3 are on physicists (P), 2 on chemists (C), and 2 on biologists (B). Since videos within each field are indistinguishable, the number of distinct arrangements is:

📌 Question: A herpetologist captures and tags 6 snakes over several days: 2 vipers, 2 cobras, and 2 pythons. If she releases one snake per day and each individual is distinct but species matter, how many distinct release sequences are possible?

📌 Solution: We are arranging 7 sensors: 3 Ts, 2 Ss, and 2 Ds. Since sensors of the same type are indistinguishable, the number of distinct sequences is:

📌 Question: A science communicator creates a 6-part video on mathematical discoveries, choosing 2 on calculus, 2 on geometry, and 2 on number theory. If videos on the same topic are indistinguishable, how many unique viewing orders are possible?

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