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Home » Total favorable roll sequences (before sum constraint): - jntua results

Total favorable roll sequences (before sum constraint): - jntua results

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Case 2a valid, others invalid

📌 So only 2a: 2 (prime assignments) × 2 (odd non-prime) × 2 (even non-prime) = 8

📌 Plus position arrangement: the even prime and odd prime are in different positions: $ \binom{4}{2} = 6 $ ways to assign which two slots get primes — but in this count, we are assigning to specific positions, so the $ \binom{4}{2} $ places the prime positions, then assign values.

📌 For Case 2:

📌 Choose 2 positions for the two prime rolls: $ \binom{4}{2} = 6 $

📌 Assign one prime as 2, one as odd (3 or 5): 2 ways (which is which)

📌 Odd prime choice: 2

📌 Non-primes: one must be odd (1), one even (4 or 6): 2 choices

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