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Home » Approximate volume = 160 * 3.14159 ≈ 502.654 cubic meters. - Sourci

Approximate volume = 160 * 3.14159 ≈ 502.654 cubic meters. - Sourci

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Total favorable triples: $ 4750 + 4970 = 9720 $

📌 Simplify: divide numerator and denominator by 5:

📌 But in our sum, $ a $ and $ b $ were the two smallest, so yes, each such triple is counted once.

📌 Simplify by dividing numerator and denominator by 5:

📌 But this is not simplified? Wait, 1944 and 4165 — we found GCD is 1.

📌 But this is unusually messy. Perhaps the problem assumes sampling with replacement? In many olympiad problems, selected from a large set with uniform probability allows replacement, but here the context suggests distinct values (conponde dates or data clusters).

📌 But lets reconsider: the problem says three integers are selected, and in context of synthetic biology, likely distinct combinations. But to match fairness, assume distinct integers from 0 to 50 inclusive, chosen independently and uniformly at random without replacement.

📌 But the problem says the two smallest, implying values, not positions, so likely distinct.

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