We have a group of ten and we want to choose a group of four.
Note that the order doesn't matter.
To solve this question, we need to calculate 10C4.
Note that 10C4 means "10 choose 4"
10C4 = (10!) / (4! 6!)
10C4 = 10*9*8*7 / 4*3*2
10C4 = 10*9*7 / 3
10C4 = 10*3*7
10C4 = 210
There are 210 different combinations of a 4-member debating team from a group of 10 qualified students.