You have six trophies to arrange on the top shelf of the bookcase how many ways are there to arrange the trophies

So, we can do it in 720 ways.

Step-by-step explanation:

We have been given total of six trophies to arrange in the top shelf of the bookcase

If we need to arrange n things in different ways we can do it in n! ways

Similarly, Here we will do it in 6! ways

n!=n (n-1) (n-2) ... 1

So, 6!=6 x 5 x 4 x 3 x 2 x 1=720