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. (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?

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Answer:

Step-by-step explanation:

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. (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?

The answer is 4320

The number of different sweatshirts that can be made from the given combinations is; 4320

How to find total probability of selection?

We are given;

Number of colours = 10 colours

Number of patterns = 4 patterns

Number of fonts = 12 fonts

Number of images = 9 images

Now, the number of different sweatshirts that can be made from the above combinations means we multiply each to get;

Number of possible combinations = 10 * 4 * 12 * 9

Number of possible combinations = 4320

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