Anna, Maya, Nina, and Dexter are four of fifty people who attended a prize drawing. Each of the 50 people has a single ticket in the drawing. There is one grand prize (new bicycle) and three identical secondary prizes (bike helmets). How many ways are there to award the prizes... a. with no additional restrictions. b. if Anna wins a secondary prize. c. either Anna, Maya, Nina, or Dexter wins the grand prize. d. if Anna and Maya both win prizes (of some sort) while Nina and Dexter do not win prizes. e. either Anna wins the grand prize or Nina wins a secondary prize but not both. (Note: Nina and Anna both winning secondary prizes is permitted). f. if Anna wins the grand prize and/or Nina wins a secondary prize