Question

There are 8 students in a small class. To make a team, the names of the 2 of them will be drawn from a hat. How many different teams of 2 students are possible?

Answer 1

`_(8) C_2 \\ \\ (8!)/((8-2)!2!) \\ \\ (8!)/(6!2!) \\ \\ (8*7*6*5*4*3*2*1)/(6*5*4*3*2*1*2*1) \\ \\ (8*7)/(2*1) \\ \\ (56)/(2) \\ \\ 28`

28 different teams