Question

The governor is making a visit to your school and you need to assign seating for 14 students. unfortunately there are only six seats in the front row. in how many different ways can you select and arrange the six lucky students?

Answer 1

First seat: 14 candidates to seat
Second seat: 13 candidates to seat
Third seat : 12 candidates
4th seat: 11 candidates
5th seat: 10 candidates
6th seat: 9 candidates

Number of different variations: 14*13*12*11*10*9 = 2,162,160 different ways,


Observe that is 14P6 = 14! / (14-6)! = 14! / 8! = 14*13*12*11*10*9*8! / 8! =

= 14*13*12*11*10*9 

Answer: 2,162,160