A radio talk show host can select 3 of 6 special guests for her program. The order of appearance of the guests is important. How many different ways can this be done?

Step 1:

Since the problem says that order is important we know we are using permutations since this counts different orders as different.

Step 2:

Calculate 

\[_6P_3=6\cdot 5\cdot 4=\frac{6!}{(6-3)!}=120\]