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Let me draft the first question. Robotics engineer: Suppose a robot uses different types of sensors. How many orders to use them over a week? Lets say 3 temperature sensors, 2 motion sensors, 1 camera. Total 6 days? Wait, a week is 7 days. Maybe adjust numbers. Alternatively, 4 sensors: 2 of type A, 1 of B, 1 of C, 1 of D. But need to make sure the total is 7. Maybe 4, but thats 4 items. Maybe 3, 2, 2. Total 7. Let me check: 3+2+2=7. Yes.
Question: A robotics engineer is testing a drones sensor array, which includes 3 temperature sensors, 2 motion sensors, and 2 cameras. If the engineer activates one sensor per day for a week, how many distinct sequences of sensor activations are possible?
Next, materials scientist: Self-healing materials might have different repair mechanisms. Suppose a material uses 3 types of healing agents: 4 microcapsules, 2 vascular networks, and 1 healing gel. Over 7 days, how many sequences? Wait, 4+2+1=7. Same as before. Maybe adjust to 3, 3, 1. But 3+3+1=7. Lets go with that.

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