SOLUTION: Prof. Shanks assigns 6 students to work on a project. The group is to have no more than 1 freshman. In how many ways can the group be selected if there are 6 freshmen and 9 sophomo

Algebra ->  Finance -> SOLUTION: Prof. Shanks assigns 6 students to work on a project. The group is to have no more than 1 freshman. In how many ways can the group be selected if there are 6 freshmen and 9 sophomo      Log On


   

Question 1150344: Prof. Shanks assigns 6 students to work on a project. The group is to have no more than 1 freshman. In how many ways can the group be selected if there are 6 freshmen and 9 sophomores in the class?

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The group can have either 6 sophomores, or 5 sophomores and 1 freshman:

C%289%2C6%29+%2B+%28C%289%2C5%29%2AC%286%2C1%29%29

You could be more mathematically "complete" by saying the group can have either 6 sophomores AND 0 FRESHMEN, or 5 sophomores and 1 freshman:

%28C%289%2C6%29%2AC%286%2C0%29%29+%2B+%28C%289%2C5%29%2AC%286%2C1%29%29

Use a calculator if necessary to get a numerical answer.