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Home » Solution:** This is a combinations problem where we need to choose 4 catalysts from 9. The number of ways to do this is given by: - AMAZONAWS

Solution:** This is a combinations problem where we need to choose 4 catalysts from 9. The number of ways to do this is given by: - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
Solution:** This is a combinations problem where we need to choose 4 catalysts from 9. The number of ways to do this is given by:

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📌 and $ L $ is a multiple of 7 (since pipes are seven units long and total length is a sum of such pipes). However, note: the problem states the *total length of installed pipe* is one more than a multiple of 13—so $ L \equiv 1 \pmod{13} $, and $ L $ must be expressible as a sum of multiples of 7. But since individual pipes are 7 units, any valid total length must be a multiple of 7. So we seek the smallest two-digit number $ L $ such that:
📌 ÷ 11 ≈ 12.27 → no
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