A country has two political parties, the Circles and the Squares. The 100-member senate has 44 Circles and 56 Squares. (a) Each party must elect a chair and a vice chair from their party’s members, and one person cannot be elected for both. How many different outcomes are there for the chair and vice chair elections? Make sure to explain your answer. (b) How many ways are there to pick a 10 member committee of senators with the same number of Circles as Squares? Make sure to explain your answer.