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Home » Calculate the population after 6 months using exponential growth: - Imagemakers

Calculate the population after 6 months using exponential growth: - Imagemakers

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 5Question: A statistician is analyzing a dataset of 1000 instances and wants to split it into a training set (70%), validation set (20%), and test set (10%). How many distinct ways can she partition the data while preserving the class distribution, assuming all instances are labeled and distinguishable?

📌 Solution: To partition 1000 distinguishable instances into groups of sizes 700 (training), 200 (validation), and 100 (test), we use multinomial coefficients. The number of ways to assign the data is:

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