For each problem, display the final numerical answer and the equation(s) used to form the answer. Leave combinations, permutations, factorials, and exponents intact. Good example: C(6, 3) - C(5, 2) = 10 Bad examples: 10 no equation C(6, 3) - C(5, 2) no final answer 20 - 10 = 10 did not leave combinations intact If the final equation is too complex, introduce variables and break it down into two or more equations. You are encouraged to show additional work to indicate how you derived your equation.2. (24 points, 4 points each) 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