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how long does it take for caffeine to kick in - AIKO, infinite ways to autonomy.

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A primatologist is observing a group of 10 primates and wants to form pairs for a study. How many distinct pairs of primates can be formed?

📌 To determine the number of distinct pairs, we use combinations to choose 2 primates from 10. This is calculated as \(\binom{10}{2}\).

📌 Substituting \(n = 10\) and \(r = 2\):

📌 \binom{10}{2} = \frac{10!}{2!(10-2)!} = \frac{10 \times 9}{2 \times 1} = 45

📌 Thus, the number of distinct pairs of primates is \(\boxed{45}\).

📌 An entomologist is cataloging insects and wants to select 3 from a group of 12 different species for a detailed genetic analysis. How many ways can the entomologist choose the species?

📌 The number of ways to choose 3 species from 12 is calculated using the combination formula \(\binom{12}{3}\).

📌 \binom{12}{3} = \

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