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Home » Calculate the final population using the formula for exponential growth: - Get link 4share

Calculate the final population using the formula for exponential growth: - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Therefore, there are \(\boxed{120}\) ways to choose 3 crops from the list of 10.

📌 Question:** A chemist at Caltech is testing combinations of 4 different catalysts for a reaction from a set of 9 available catalysts. How many distinct sets of 4 catalysts can be selected?

📌 Solution:** This is a combinations problem where we need to choose 4 catalysts from 9. The number of ways to do this is given by:

📌 \binom{9}{4} = \frac{9!}{4!(9-4)!} = \frac{9 \times 8 \times 7 \times 6 \times 5!}{4! \times 5!} = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}

📌 Calculating the numerator:

📌 \times 8 = 72, \quad 72 \times 7 = 504, \quad 504 \times 6 = 3024

📌 Calculating the denominator:

📌 \times 3 = 12, \quad 12 \times 2 = 24, \quad 24 \times 1 = 24

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