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Consider three sets of complex roots of unity defined as A={zi:z18i=1}B={zj:z48j=1}C={zizj:zi∈A and zj∈B}. Then the number of distinct elements in C is

Answer» Consider three sets of complex roots of unity defined as
A={zi:z18i=1}B={zj:z48j=1}C={zizj:ziA and zjB}.
Then the number of distinct elements in C is


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