for ITSC 2175

4. A total of 8 seniors and 6 juniors have volunteered fora committee a. How many ways are there to select a committee of 5 students? b. How many ways are there to select a committee with 3 seniors and 2 juniors? C. The committee must have five students and one of the 5 must be selected as chair. How many ways are there to make the selection? 5. Given ten points in the plane with no three collinear, a. How many different segments joining two points are there? b. How many ways are there to choose a directed path of length two through three distinct points? c. How many different triangles can be formed by connecting three of the points