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Brunette College offers 4 math classes, 2 science classes, 3 language classes, and 5 art classes. Sylvia needs to sign up for exactly one class in each subject.
How many different combinations of classes does Sylvia have to choose from?

Brunette College offers 44 math classes, 22 science classes, 33 language classes, and 55 art classes. Sylvia needs to sign up for exactly one class in each subject.\newlineHow many different combinations of classes does Sylvia have to choose from?

Full solution

Q. Brunette College offers 44 math classes, 22 science classes, 33 language classes, and 55 art classes. Sylvia needs to sign up for exactly one class in each subject.\newlineHow many different combinations of classes does Sylvia have to choose from?
  1. Math Classes Options: For math classes, Sylvia has 44 options to choose from.
  2. Science Classes Options: For science classes, she's got 22 options.
  3. Language Classes Options: Language classes offer her 33 choices.
  4. Art Classes Options: And for art classes, there's 55 different ones she can pick.
  5. Total Combinations Calculation: To find the total combinations, multiply the number of options for each subject: 44 (math) * 22 (science) * 33 (language) * 55 (art).
  6. Multiplication Steps: Doing the math: 4×2=84 \times 2 = 8, then 8×3=248 \times 3 = 24, and finally 24×5=12024 \times 5 = 120.

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