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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A grocer has twelve weights, weighing $1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12$ kilograms respectively. He splits them into three groups of four weights each. The total weights of the first and second groups are $41$ kg and $26$ kg respectively. Which of the following weights is in the same group as the $9$ kg weight?

(A) $3$ kg (B) $5$ kg (C) $7$ kg (D) $8$ kg (E) $10$ kg

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