Question: A radiation protection system logs particle events over 6 consecutive time intervals. Each interval is classified as low, medium, or high radiation. How many distinct 6-interval sequences are possible if no two consecutive intervals can both be high?

Thu, 30 Apr 2026 06:06:13 +0000

**How Many Distinct 6-Interval Radiation Sequences Exist When No Two Consecutive Intervals Can Be High?** In an era of increasing awareness around safety in scientific, medical, and industrial environments, tracking radiation exposure accurately is critical—especially when systems monitor particle activity across multiple time points. Imagine a point-of-care device logging radiation levels every minute: each reading can be low, medium, or high. Now picture analyzing sequences spanning six minutes, where strict rules prevent consecutive high readings due to equipment safety protocols. Understanding how many unique patterns emerge under this constraint reveals both the complexity and predictability of radiation data. --- **Why This Question Is Gaining Traction in the US**