A school director must randomly select 6 teachers to participate in a training session. There are 34 teachers at the school. In how many different ways can these teachers be selected, if the order of selection does not matter?
A) 127,220,990
B) 3,448,912
C) 1,344,904
D) 968,330,880

Question

A school director must randomly select 6 teachers to participate in a training session. There are 34 teachers at the school. In how many different ways can these teachers be selected, if the order of selection does not matter? 
A) 127,220,990
B) 3,448,912
C) 1,344,904
D) 968,330,880

anonymous · Answer

Since the order is not important, use combination
$$C _{r}^{n}=\frac{ n ! }{ (n-r )!\ r!}$$
the answer is option C.

anonymous · Answer

where n is the number you are choosing from and r is the number you are selecting