math

posted by .

a deli offers it's cheese sandwich with various combinations of mayo,lettuce, tomatoes, pickles and sprouts. 5 different types of cheese are avaiable. How many different chesse sandwiches are possible?

• math -

with the 5 condiments listed there would be 2^5 subsets or 32 different ways to have the condiments, including none and all of them

so the number of different sandwiches
= 32 x 5 ways
= 160

(this assumes that only one kind of cheese is on a sandwich.
If multiple cheeses can go on, there would be 2^10 -1 or 59048 ways to have the cheeses.
I subtracted 1 to exclude 'no cheeses'. Having a cheese sandwich without cheese is a contradiction.)

Similar Questions

1. elementary math for teachers

A deli offers its cheese sandwich with various combinations of mayonnaise, lettuce, tomatoes, pickles, and sprouts. 5 types of cheese are available. How many different cheese sandwiches are possible?
2. Math

A deli offers its cheese sandwich with various combination's of mayo, lettuce, tomatoes, pickles, and sprouts. 5 types of cheese are available. How many different cheese sandwiches are possible?
3. Math-Probability

A deli offers its cheese sandwich with various combinations of mayonnaise, lettuce, tomatoes, pickles, and sprouts. 8 types of cheese are available. How many different cheese sandwiches are possible?
4. Math (combinations)

A sandwich shop has the advertising slogan, “10,000 different sandwiches & one little eatery”. The shop offers its sandwiches with various combinations of mustard, catsup, mayonnaise, Cajun spice, relish, pickles, tomatoes, and …
5. Math

We are working on permutations and combinations and the problem reads as follows: A deli offers its cheese sandwich with various combinations of mayonnaise, lettuce, tomatoes, pickles, and sprouts. 5 types of cheese are available. …
6. math-HELP

A deli offers its cheese sandwich with various combinations of mayonnaise, lettuce, tomatoes, pickles, and sprouts. 5 types of cheese are available. How many different cheese sandwiches are possible?
7. math for educators

A deli offers its cheese sandwich with various combinations of mayonnaise, lettuce, tomatoes, pickles, and sprouts. 11 types of cheese are available. How many different cheese sandwiches are possible?
8. Math

A deli offers its cheese sandwichs with various combinations of mayo, lettuce, tomatos, pickles, sprouts. 11 types of cheese are available. How many different cheese sandwichs are possible. * You can only use one type of cheese on …
9. statistics

A deli bar offers a special sandwich for which there is a choice of five different cheeses, four different meat selections, and three different rolls. How many different sandwich combinations are possible?
10. Algebra

You have two types of bread, three types of meat, and four types of cheese. How many different sandwiches can you make if each sandwich has one type of bread, one type of meat, and one type of cheese?

More Similar Questions