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Max is going to order a breakfast platter at The Breakfast Club. He can choose one style of eggs, one type of meat, and one kind of toast. The following table shows the options available to him. \newlineBreakfast platter Egg options: Fried, Scrambled, Poached\newline Hard boiled Meat options: Bacon, Sausage, Ham\newline Steak Toast options: White, Wheat, Rye \newlineHow many different breakfast platters could Max create?

Full solution

Q. Max is going to order a breakfast platter at The Breakfast Club. He can choose one style of eggs, one type of meat, and one kind of toast. The following table shows the options available to him. \newlineBreakfast platter Egg options: Fried, Scrambled, Poached\newline Hard boiled Meat options: Bacon, Sausage, Ham\newline Steak Toast options: White, Wheat, Rye \newlineHow many different breakfast platters could Max create?
  1. Count Options: Step 11: Count the number of options for each category.\newlineEgg options: Fried, Scrambled, Poached, Hard boiled - Total 44 options.\newlineMeat options: Bacon, Sausage, Ham, Steak - Total 44 options.\newlineToast options: White, Wheat, Rye - Total 33 options.
  2. Calculate Total Platters: Step 22: Calculate the total number of different breakfast platters.\newlineUsing the multiplication principle for counting combinations:\newlineNumber of platters == Number of egg options ×\times Number of meat options ×\times Number of toast options\newline=4= 4 (eggs) ×4\times 4 (meats) ×3\times 3 (toasts)\newline=48= 48 different platters.

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