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Answer :
10 · 4 · 12 · 9 = 4320
There are 4320 choices
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The total number of ways Sebastian can print different sweatshirt designs is given by P = 4,320 ways
What are Permutations?
A permutation is an ordered arrangement.
The number of ordered arrangements of r objects taken from n unlike objects is:
Permutation ⁿPr = n! / ( n - r )!
Given data ,
Let the number of ways Sebastian can print different sweatshirt designs be represented as P
And , the permutation will be
Now , the number of colors = 10 colors
The number of patterns = 4 patterns
The number of fonts = 12 fonts
The number of images = 9 images
So , number of ways Sebastian can print different sweatshirt designs P is
P = 10 x 4 x 12 x 9
P = 4,320 ways
Hence , the number of ways is 4,320 ways
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