Allen, Baker, Cabot and Dean are to speak atdinner.They will draw lots to determ

Question

   Allen, Baker, Cabot and Dean are to speak atdinner.They will draw lots to determine the order in which theywill speak. 1) list all the elements of a suitable sample space if allorders need to be distinguished. 2) Mark with a check the elements of the event Allen speaksbefore cabot. 3) Mark with a cross element of the event,"Cabot's speech comes between those of allen and Baker." 4) Mark with a star the elements of the event. "The fourpersons speak in albhabetical order."    Allen, Baker, Cabot and Dean are to speak atdinner.They will draw lots to determine the order in which theywill speak. 1) list all the elements of a suitable sample space if allorders need to be distinguished. 2) Mark with a check the elements of the event Allen speaksbefore cabot. 3) Mark with a cross element of the event,"Cabot's speech comes between those of allen and Baker." 4) Mark with a star the elements of the event. "The fourpersons speak in albhabetical order."

Explanation / Answer

1) {ABCD, ABDC, ACBD, ACDB, ADBC, ADCB, BACD, BADC,BCAD, BCDA, BDAC, BDCA, CABD, CADB, CBDA, CBAD, CDAB, CDBA, DABC,DACB, DBCA, DBAC, DCAB, DCBA} 2) {ABCD,ABDC, ACBD, ACDB, ADBC, ADCB, BACD, BADC, BCAD, BCDA, BDAC, BDCA, CABD, CADB, CBDA,CBAD, CDAB, CDBA, DABC, DACB, DBCA, DBAC, DCAB, DCBA} 3) {ABCD, ABDC, ACBD, ACDB, ADBC, ADCB, BACD, BADC,BCAD, BCDA, BDAC, BDCA, CABD, CADB, CBDA, CBAD, CDAB, CDBA, DABC, DACB, DBCA, DBAC,DCAB, DCBA}

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