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88, let gbe a group and let hand k be two subgroups of g. if both h and k have 12 elements, which of the follow- ing numbers cannot be the cardinality of the se
88, Let Gbe a group and let Hand K be two subgroups of G. If both H and K have 12 elements, which of the follow- ing numbers cannot be the cardinality of the set HK = hk:h e H, k e K}? ITIFR 2014] (a) 72 (b) 60 (c) 4 48 ) 36
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Anonymous User Best Answer
at-least we expect to have (|HK|) divides (|H||K|=12^2=144). Here, (72,48,36) all divide (144) but (60) does not divide (144) therefore (|HK|) can not be (60). so B