What is the width of the mobile, if only the masses of the spheres as indicated have to be considered? How many different hanging mobiles, that cannot be transferred into each other by turning the rods (e.g. the arrangements 3-1-1-1-2 and 1-3-1-1-2 are not different), can be constructed by permutation of the weights? Which arrangement of the weights has the maximum width ?

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Answer:

(Reduce the fractions to their lowest terms.)