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how early can you find out gender - AIKO, infinite ways to autonomy.

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 We are selecting 5 students from 10 total, with the constraint that at least one student comes from each school. Total number of ways to choose any 5 students is:

📌 Now subtract the number of selections that exclude at least one school. Use complementary counting:

📌 Case 1: Only one school is represented

📌 Impossible, since no school has 5 students.

📌 Case 2: Only two schools are represented

📌 So the number of valid selections (with at least one from each school) is:

📌 Question: A volcanologist uses a drone to monitor 7 active fissures, each independently having a 40% chance of resurfacing in the next 24 hours. What is the probability that at least 2 fissures resurface?

📌 Question: An archaeologist finds 9 artifacts, 4 of which are pottery, 3 are tools, and 2 are jewelry. If she randomly selects 3 artifacts to display in a museum, how many selections include at least one of each category?

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