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A 400-metre medley relay involves four different swimmers, who successively swim 100 metres of backstroke, breakstroke, butterfly and freestyle. A coach has six very fast swimmers whose expected times (in seconds) in the individual events are as follows: Swimmer Time(in seconds) Event1 Event2 Event3 Event4 A 65 73 63 57 B 67 70 65 58 C 68 72 69 55 D 67 75 70 59 E 71 69 75 57 F 69 71 66 59 How should the coach assign swimmers to the relay so as to minimise the sum of their times?
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