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Mathematics, 10.03.2020 18:02 YaBoiMando2061

Three molecules of type A, three of type B, three of type C, and three of type D are to be linked together to form a chain molecule. One such chain molecule is ABCDABCDABCD, and another is BCDDAAABDBCC.
How many such chain molecules are there?
(Hint: If the three A's were distinguishable from one another -- A1, A2, A3 and the B's, C's, and D's were also, how many molecules would there be?

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