posted by Albert on .
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 source. How many sandwich combinations are possible? Assume Carlos always pick only one item from each category. Bread: Italian, Rye, Wheat, White and Seasame seed. Meat: Rost beef, ham, trukey, salami, chorizo, pulled poke. Vegetable: Lettuce, tomato, onion, green peppers, avocado. Cheese: American, cheddar, swiss, jalapeno, munsstar and colby jeck. Source: mayonnaise, balsamic, vinegar, ranch, chipotte, barbeque.
If you are studying this topic, this question is almost too elementary.
number of breads: 5
meats : 6 (what is pulled poke)
veggies : 6
Source ? : 6
number of possible sandwiches
= 5x6x6x6x6 = 6480
Now the question becomes more interesting if you assume that he may or may not choose any or part of the listing