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ac dc shook me all night long with lyrics - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Substituting \( n = 8 \) and \( r = 3 \):

📌 \binom{8}{3} = \frac{8!}{3!(8-3)!} = \frac{8 \times 7 \times 6}{3 \times 2 \times 1} = \frac{336}{6} = 56

📌 Thus, there are 56 ways to choose 3 startups from 8.

📌 \boxed{56}

📌 An urban forestry researcher is analyzing tree species in a park with 4 distinct types of trees. If each tree can be either healthy or unhealthy, how many different health status combinations are possible across a row of 5 trees?

📌 Each tree has 2 possible states: healthy or unhealthy. Since there are 5 trees and each tree's status is independent, the total number of combinations is:

📌 This counts all possible combinations of healthy and unhealthy statuses for 5 trees.

📌 \boxed{32}

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