Question

Sebastian is going to choose the color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 101010 colors, 444 patterns, 121212 fonts, and 999 images for him to choose from. (The printing company charges a fee to add extra design elements, so he will choose only one of each.) How many different sweatshirt designs are possible?

Answer 1

There will be 4320 design choices.

Explanation:

As there are 101010 choices, 444 patterns, 121212 fonts,

We can use the fundamental principle of counting here:

This means we will take the choices x choices x

By multiplying these terms:

10 x 4 x 12 x 9 = 4320.

Thus Sebastian can design 4320 sweatshirt designs with the given number of paints, patterns, and fonts.