Use Polya’s four-step problem solving strategy to solve the following problems. Show your complete solution. (10 pts. each)

1. A true and false quiz contains 10 questions. In how many ways can a student answer the questions if the student answers two of the questions with false and the rest with true?


2. A number of ducks and pigs in the field totals 35. The total number of legs among them is 98. Assuming each duck has exactly two legs and each pig has exactly four legs, determine how many ducks and how many pigs are in the field? ​