A club has 8 members, namely A, B, C, D, E, F, G, and H.
i.) The club needs to elect a president and secretary. How many ways can this be done if two members, G and H, can't stand each other and refuse to serve together in these positions?
ii.) Suppose people A through E are women, the rest are men (F, G, H). If the choice of president and secretary is made uniformly at random, for example by drawing names out of a hat, what percentage of the time will both people selected be men?