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Home » Total number of ways to choose 3 distinct primes: - Decision Point

Total number of ways to choose 3 distinct primes: - Decision Point

📅 May 5, 2026 👤 scraface

May 05, 2026

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Now compute numerically or simplify:
Simplify: divide numerator and denominator by 16:
But this is probability — must be less than 1 — so error in counting.
The mistake: when choosing the remaining $28$ positions, we must accou...
However, the total number of ways to arrange the first 4 positions wit...
Now compute numerical value for verification.
$32!$ is huge, but we can compute the coefficient.
But instead, use known identity: this is similar to hypergeometric, bu...
However, note that the total number of ways to choose first 4 position...
But the error is in the favorable count: when we fix the first 4 posit...

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