There are eight members of a team How many ways are there to

There are eight members of a team. How many ways are there to select a team leader, assistant team leader, and team coordinator?

Solution

number of ways=8c3=(8!/((3*2*1)*5!)*3! beacuse the three who are selected can be given other position among themselves
number of ways=(8*7*6*5!/(3*2*1*5!))*3!=56*3!=56*6=336