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A club is made up of the members listed below. Assuming that all members are...

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A club is made up of the members listed below. Assuming that all members are eligible, but no one can hold more than one office, list and count the different ways theclub could elect a president, a secretary, and a treasurer, if all three officers must be women. (Cathy, Dorothy, and Eileen are women, and the others are men.)N={Andrew, Ben, Cathy, Dorothy, Eileen) or, in abbreviated form N= {A, B, C, D, E).List the different ways the club could elect each group of officers. Choose the correct answer below.A. CDE, DCE, ECDB. CDA, CDB, CEA, CEB, DCA, DCB, DEA, DEB, ECA, ECB, EDA, EDBC. ACD, BCD, ACE, BCE, ADC, BDC, ADE, BDE, AEC, BEC, AED, BED, CAD, CBD, CAE, CBE, DAC, DBC, DAE, DBE, EAC, EBC, EAD, EBD, CDA, CDB,CEA, CEB, DCA, DCB, DEA, DEB, ECA, ECB, EDA, EDBD. ADE, AED, DAE, DEA, EAD, EDAE. CDE, CED, DCE, DEC, ECD, EDCCUSt

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