Carlos goes to a local deli for lunch and orders a sandwich. He needs to choose a bread, a meat, a vegetable, a cheese, and a sauce. How many sandwich combinations are possible? Assume Carlos always picks only one item from each category.
Bread: Italian, rye, wheat, white, sesame seed.
Meat: Roast beef, ham, turkey, salami, chorizo, pulled pork.
Vegetable: Lettuce, tomato, onion, green peppers, avocado.
Cheese: American, cheddar, Swiss, jalapeno, Munster, Colby jack.
Sauce: Mayonnaise, balsamic vinegar, ranch, chipotle, barbeque.
5 * 5 * 6 * 6 * 6 = ?
5 * 5 * 5 * 6 * 6 = ?
5400
To find the total number of sandwich combinations, we need to multiply the number of choices for each category.
For the bread category, there are 5 options: Italian, rye, wheat, white, sesame seed.
For the meat category, there are 6 options: Roast beef, ham, turkey, salami, chorizo, pulled pork.
For the vegetable category, there are 5 options: Lettuce, tomato, onion, green peppers, avocado.
For the cheese category, there are 6 options: American, cheddar, Swiss, jalapeno, Munster, Colby jack.
For the sauce category, there are 5 options: Mayonnaise, balsamic vinegar, ranch, chipotle, barbeque.
To find the total number of combinations, we multiply the number of options in each category:
5 bread options x 6 meat options x 5 vegetable options x 6 cheese options x 5 sauce options = 3,000 possible sandwich combinations.
Therefore, there are 3,000 possible combinations for Carlos to choose from for his sandwich.