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Billy is picking a sandwich, a snack, a dessert, and a drink for his lunch. He can have a ham, turkey, or salami sandwich; an apple, banana, or carrots for his snack; a cookie or brownie for his dessert; and apple or orange juice for his drink.
How many different lunch combinations does Billy have to choose from?

Billy is picking a sandwich, a snack, a dessert, and a drink for his lunch. He can have a ham, turkey, or salami sandwich; an apple, banana, or carrots for his snack; a cookie or brownie for his dessert; and apple or orange juice for his drink.\newlineHow many different lunch combinations does Billy have to choose from?

Full solution

Q. Billy is picking a sandwich, a snack, a dessert, and a drink for his lunch. He can have a ham, turkey, or salami sandwich; an apple, banana, or carrots for his snack; a cookie or brownie for his dessert; and apple or orange juice for his drink.\newlineHow many different lunch combinations does Billy have to choose from?
  1. Sandwich Choices: Billy has 33 choices for sandwiches: ham, turkey, or salami.
  2. Snack Choices: He has 33 choices for snacks: apple, banana, or carrots.
  3. Dessert Options: For dessert, Billy's got 22 choices: cookie or brownie.
  4. Drink Options: And for drinks, there's 22 options: apple juice or orange juice.
  5. Calculate Total Combinations: To find the total number of combinations, multiply the number of choices for each category.\newlineSo, it's 33 (sandwiches) ×\times 33 (snacks) ×\times 22 (desserts) ×\times 22 (drinks).
  6. Calculate Total Combinations: To find the total number of combinations, multiply the number of choices for each category.\newlineSo, it's 33 (sandwiches) ×\times 33 (snacks) ×\times 22 (desserts) ×\times 22 (drinks).Calculating that gives us 3×3×2×2=363 \times 3 \times 2 \times 2 = 36 different lunch combinations.

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