Answer:
479,001,600 different designs are possible
Step-by-step explanation:
To solve this question, we want to know in how many ways 12 elements can be arranged.
Number of possible arrangements of x elements:
The number of possible arrangments of x elements is given by:
[tex]A_{x} = x![/tex]
In this question:
12 elements. So
[tex]A_{12} = 12! = 479001600[/tex]
479,001,600 different designs are possible
