
Problem 6.
Suppose a high school math teacher has 10 students who want to go to the LACC Math Contest. Half of the 10 students are experienced (having participated in math competitions before), and half are inexperienced (not having competed before). If the teacher decides to send 6 of the 10 students with at least 2 of them being experienced, how many different combinations of 6 students does the teacher have to choose from?
[Problem submitted by Steve Lee, LACC Professor of Mathematics.]

