1. A certain restaurant claims they can make over1 million different types of sa

Question

1.    A certain restaurant claims they can make over1 million different types of sandwiches. They list thefollowing: ten “meats”(six regular – Black Angus, Veggie, Turkey,Chicken, Sausage Blend, Portobello Mushroom andfour premium – Bison, Turducken, Tuna, SpicyPork); five different styles (rare, medium rare,medium, medium well, well done); six differenttypes of bun (White, Wheat, Onion, Jalapeno, Texas Toast, PoppySeed); twenty-one different sauces (Wind Sauce,Heinz 57, Honey BBQ, Honey Mustard, etc. - too many to list but youget the picture); eleven toppings (pickles, redonions, lettuce leaf, shredded lettuce, etc.);eleven premium toppings (bacon, mushrooms,avocado, etc.); eleven cheeses (Feta, MontereyJack, shredded Cheddar, Greek Feta, Swiss, etc.).

Determine whether theirclaim can be substantiated. YES orNO is not enough!! Include written supportfor your decision.

I got there to be 8,385,300different ways to make a sandwich using these ingredients. I do notfeel very confident in this answer and just need someclarification. I got this answer by multiplying 10x5x6x21x11x11x11.Any help?

Explanation / Answer

Let's say that you are making a sandwich from meat and bread. You have 2 types of bread (wheat, white), and 5 types of meat(salami, roast beef, turkey, chicken, and pepperoni). So youcould have salami wheat, roast beef wheat, turkey wheat, chickenwheat, pepperoni wheat, salami white, roast beef white, turkeywhite, chicken white, and pepperoni white. You just multiplythe choices like you did to get the answer.
However, that is only accounting for single combinations. We still could do salami + roast beef on wheat and etc.
But since you only need to prove more than 1 million, whichyou did, you should be fine!

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