2023 AMC 10A Problems/Problem 17

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James has 7 marbles; 3 yellow ones, 2 red ones, and 2 blue ones. He arranges the marbles in a row from left to right. What is the probability that no two adjacent marbles are the same color? (A) 16/ 105 (B) 17/ 105 (C) 37 /210 (D) 19 / 105 (E) 41 / 210