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\binom62 + \binom63 + \binom64 + \binom65 - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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\frac{362880}{24 \cdot 6 \cdot 2} = \frac{362880}{288} = 1260
Thus, the number of distinct sequencing orders is $ \boxed{1260} $.
Question: If a fair six-sided die is rolled 4 times, what is the proba...
Solution: First, identify the prime numbers on a six-sided die: 2, 3,...
Exactly two of the four rolls to be prime
The sum of all four rolls to be even
Step 1: Choose which 2 of the 4 rolls are prime:
\binom{4}{2} = 6
For each such choice, the number of ways to assign prime numbers to th...
Non-prime assignments to the other two: $ 3^2 = 9 $

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