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Home » ### Nếu bạn cố gắng phân tích dạng như tiểu - RTA

### Nếu bạn cố gắng phân tích dạng như tiểu - RTA

📅 May 10, 2026 👤 scraface

May 10, 2026

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📌 Number of available symbols (excluding the restricted one): 11

📌 Number of ways to choose and arrange 5 symbols from 11:

📌 Thus, the total number of different arrangements is:

📌 $$Question: A middle school robotics team has 8 different components: 3 motors, 2 sensors, and 3 structural parts. They wish to design a robot by selecting 4 components for the base, with at least one motor and one sensor. How many valid combinations of 4 components can they choose?

📌 We must count the number of 4-component selections satisfying:

📌 Let $ m $, $ s $, $ t $ denote the number of motors, sensors, and structural parts selected, respectively. Then:

📌 Now compute the number of combinations for each:

📌 Question: A natural language processing model processes a sentence by selecting 5 distinct words from a vocabulary of 12 words: 5 nouns, 4 verbs, and 3 adjectives. How many ways can the selection include exactly 2 nouns, at least 1 verb, and at least 1 adjective?

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