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Home » how many times can you take the sat - GetMeFoodie

how many times can you take the sat - GetMeFoodie

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 5Question: A robotics engineer is programming a robot to assemble components in a specific sequence using 5 different parts: A, B, C, D, and E. If the robot must place these parts in a line such that A comes before B and C comes before D, how many valid sequences can the robot produce?

📌 Solution: We are given 5 distinct parts: A, B, C, D, and E, and we are to count the number of permutations where A appears before B and C appears before D.

📌 First, the total number of permutations of 5 distinct parts is $5! = 120$.

📌 In any random permutation, the relative order of A and B is equally likely to be A before B or B before A. So, exactly half of the permutations have A before B. Similarly, exactly half have C before D.

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