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Three molecules of type A, four of type B, three of type C and five of type D are to be linked together to form a chain

Posted: Sun Oct 03, 2021 11:27 am
by answerhappygod
Three molecules of type A, four of type B, three of type C and
five of type D are to be linked together to form a chain molecule.
One such chain molecule is ABDDABADCBDCCDB. How many such chain
molecules can be formed in such a way that the molecules on either
ends are type D? [Answer]