Three molecules of type A, three of type B, three of type C,and three of type D are to
Chapter 2, Problem 40(choose chapter or problem)
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 chainmolecule. One such chain molecule is ABCDABCDABCD,and another is BCDDAAABDBCC.a. How many such chain molecules are there? [Hint: If thethree As were distinguishable from one anotherA1, A2,A3and the Bs, Cs, and Ds were also, how many molecules would there be? How is this number reducedwhen the subscripts are removed from the As?]b. Suppose a chain molecule of the type described is randomlyselected. What is the probability that all threemolecules of each type end up next to one another (suchas in BBBAAADDDCCC)?
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