[8] 6. Wilma Flinstone asks Fred to buy some dinosaurs eggs to make a large omelet for a party to which they are inviting all of their (prehistoric) friends. Eggs are only sold in packs of 6 and 13 eggs. 2 a. Prove that there is no way for Fred Flinstone to buy exactly 59 eggs. [7] b. Prove that it is possible for Fred Flinstone buy exactly r dinosaur eggs for every integer a 2 60. Hint: use mathematical induction. Clearly state the base case, your induction hypothesis, and your proofs for the base case and induction step [8] 6. Wilma Flinstone asks Fred to buy some dinosaurs eggs to make a large omelet for a party to which they are inviting all of their (prehistoric) friends. Eggs are only sold in packs of 6 and 13 eggs. 2 a. Prove that there is no way for Fred Flinstone to buy exactly 59 eggs. [7] b. Prove that it is possible for Fred Flinstone buy exactly r dinosaur eggs for every integer a 2 60. Hint: use mathematical induction. Clearly state the base case, your induction hypothesis, and your proofs for the base case and induction step