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306 park drive manor 2 rome ny 13440 - Feedz API

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Solution: First, note that the sum of three numbers is even if and only if all three are even or exactly one is even. However, the only even prime is 2. So, for the sum to be even, exactly one of the selected primes must be 2, and the other two must be odd primes.

📌 List all prime numbers less than 50:

📌 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

📌 There are 15 primes in total, of which 14 are odd and 1 (2) is even.

📌 Total number of ways to choose 3 distinct primes:

📌 inom{15}{3} = rac{15 \cdot 14 \cdot 13}{6} = 455

📌 Number of favorable outcomes (include 2 and two odd primes):

📌 Choose 2 from the 14 odd primes:

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