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Home » \[ 11 \times 10 = 110 \] - AIKO, infinite ways to autonomy.

\[ 11 \times 10 = 110 \] - AIKO, infinite ways to autonomy.

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 The total number of possible combinations is:

📌 Question: A brain-machine interface designer in Barcelona is calibrating a neural control system that uses sequences of 4 sensory feedback pulses—each chosen from 3 types: pressure, temperature, or vibration—repeated in a loop. If each sequence must contain at least one pulse of each type, how many distinct 4-pulse sequences can be generated?

📌 Solution: We are to count the number of sequences of length 4 using 3 types of pulses (pressure, temperature, vibration), such that each sequence contains at least one of each type.

📌 Total number of sequences without restriction (each of 4 positions has 3 choices):

📌 Now subtract sequences missing at least one pulse type. Use inclusion-exclusion:

📌 So, number of sequences missing at least one type: 45

📌 Thus, sequences containing all three types:

📌 But we must ensure no character repeats, so we proceed carefully.

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