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Home » \( 1.1 = 11/10 \), so \( r = 11/10 \) - Imagemakers

\( 1.1 = 11/10 \), so \( r = 11/10 \) - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Question: A geology professor is organizing a clean-up event and divides 12 volunteers into 3 equal-sized teams of 4. How many distinct ways can the professor assign the volunteers to teams if the teams are unlabeled?

📌 Solution: We are dividing 12 distinct volunteers into 3 unlabeled teams of 4 each.

📌 First, count the number of ways to divide 12 people into 3 labeled teams of 4:

📌 Question: Three distinct prime numbers less than 50 are selected at random. What is the probability that their sum is even?

📌 Solution: The sum of three numbers is even if:

📌 Exactly two are odd and one is even.

📌 But the only even prime is 2. So, among primes less than 50, we have:

📌 Total ways to choose 3 distinct primes:

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