You have 10 different video games. how many different ways can you arrange the games side by side on a​ shelf

Consider, please, this options:
option 1. 
for the 1st place 10 games, for the 2d place - 9 games, for the 3d - 8, etc., for the 10th place - 1 game. Then, using the rule of 'logic &': 10*9*8*7*6*5*4*3*2*1=3628800 ways.
option 2.
using formula of permutations (Pₓ=x!): P₁₀=10!=3628800 ways.

Answer: 3628800.