Electing Offices for a Club: The following members are being voted into office: N = {Alan, Bill, Cathy, David, Evelyn} Assuming they are all eligible to be elected and can only hold one office, list and count the different ways the club could elect each group of officers. Assume Alan, Bill and David are male and Cathy and Evelyn are female. 1) A president and a treasurer 2) A president and a treasurer if the president must be a female 3) A president and a treasurer if the two officers must not be the same sex 4) A president, a secretary, and a treasurer, if the president and treasurer must be women 5) A president, a secretary, and a treasurer if the president must be a man and the other two must be women