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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?

Sebastian is going to choose the color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 1010 colors, 44 patterns, 1212 fonts, and 99 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.)\newlineHow many different sweatshirt designs are possible?

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Full solution

Q. Sebastian is going to choose the color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 1010 colors, 44 patterns, 1212 fonts, and 99 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.)\newlineHow many different sweatshirt designs are possible?
  1. Colors Selection: Sebastian has 1010 colors to choose from.
  2. Patterns Selection: He also has 44 patterns to pick.
  3. Fonts Selection: There's 1212 fonts available.
  4. Images Selection: And he's got 99 images to decide on.
  5. Multiplying Choices: So, we multiply all the choices: 1010 colors ×\times 44 patterns ×\times 1212 fonts ×\times 99 images.
  6. Calculating Total: Doing the math: 10×4=4010 \times 4 = 40, then 40×12=48040 \times 12 = 480, and finally 480×9480 \times 9.

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