(a) Suppose K is a subgroup of H, and H is a subgroup of G. If |K|=...

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(a) Suppose K is a subgroup of H, and H is a subgroup ofG.
If |K|= 20 and |G| = 600, what are the possible values for|H|?
(b) Determine the number of elements of order 15 in Z30 Z24.

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