Question

In: Math

A burger place offers its burgers with the choice of one, two, or three meat patties....

A burger place offers its burgers with the choice of one, two, or three meat patties. Customers may add any (as many or none as they choose)

of the following condiments: ketchup, mustard, tomato, lettuce, pickles, mayonnaise, cheese, and onions. How many different kinds of hamburgers can be ordered?

Expert Solution

We are given,

burgers with three types of meat patties = 3

and types of condiments: ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions = 7

i.e.

1 meat patties without any condiment(ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions) =

1 meat patties with any single condiment(ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions) =

1 meat patties with any two condiment(ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions) =

1 meat patties with any three condiment(ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions) =

1 meat patties with any four condiment(ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions) =

1 meat patties with any five condiment(ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions) =

1 meat patties with any 6 condiment(ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions) =

1 meat patties with all condiment(ketchup, tomato, lettuce, pickles, mayonnaise, cheese, and onions) =

So, total hamburgers with 1 meat patties can be ordered = 1+7+21+35+35+21+7+1 = 128 Hamburgers.

Similarly,

So, total hamburgers with 2 meat patties can be ordered = 1+7+21+35+35+21+7+1 = 128 Hamburgers.

So, total hamburgers with 3 meat patties can be ordered = 1+7+21+35+35+21+7+1 = 128 Hamburgers.

Overall total hamburgers can be ordered (with different meat patties and different condiments or without it) = 128+128+128 = 384 Hamburgers.

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milcah answered 1 year ago

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