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Since X = sum of expected values over 3 selected communities: - Dachbleche24

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Mar 11, 2026

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Hence, the number of distinct release orders is $oxed{90}$.
Question: Three distinct prime numbers less than 50 are selected at ra...
Solution: First, note that the sum of three numbers is even if and onl...
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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