Sebastian is going to choose the color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 4 patterns, 12 fonts, and 9 images for him to choose from. How many different sweatshirt designs are possible?

Question

High School

Answer :

psm22415 psm22415 · Answer 1 · 2024-01-05T21:12:15-05:00

The total number of ways Sebastian can print different sweatshirt designs is given by P = 4,320 ways

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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kwili kwili · Answer 2 · 2024-12-26T10:51:15-05:00

10 · 4 · 12 · 9 = 4320

There are 4320 choices

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