Suppose that a college of engineering has seven departments, which we denote by a, b, c, d, e, f, and g. a. each department has one representative on the college’s student council. from these seven representatives, one is to be chosen chair, another is to be selected vice-chair, and a third will be secretary. how many ways are there to select the three officers? b. three of the seven representatives are to be selected to attend a statewide convention. how many ways are there to select the three officers? c. which one of these do you think will have more objects in the collection?