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outcome in 31 of 59 super bowls - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 We are given 12 distinct energy conduit models and need to assign a unique model to each of the 3 domes. Since the domes are distinct and each must receive a different model, this is a permutation problem where we are selecting and ordering 3 models from 12.

📌 Thus, the number of distinct energy configurations is:

📌 Question: In a smart traffic system, 5 autonomous vehicles must be assigned to 5 different routes out of 8 available routes, such that no two vehicles are assigned to the same route. How many possible assignments are there?

📌 We are selecting and assigning 5 distinct routes from a total of 8 to the 5 autonomous vehicles, with no route reused. Since the vehicles and routes are distinguishable, this is a permutation of 5 routes from 8.

📌 Thus, the number of possible assignments is:

📌 Question: A biologist studying pollinator behavior observes 3 species of bees and 5 species of butterflies visiting 8 distinct flowers. If each flower is visited by exactly one insect, and each insect species can visit multiple flowers, how many distinct visitation patterns are possible?

📌 Each of the 8 distinct flowers is visited by exactly one of the 3 + 5 = 8 insect species. Since each flower is assigned one insect, and insects are distinguishable, this is a direct assignment of 8 distinct flowers to 8 insect types, where each flower gets one insect.

📌 Each of the 8 flowers has 8 choices for which insect visits it. Computing:

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