# Math

posted by .

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 each sandwich...

• Math -

Since it is a cheese sandwich, so there are 11 choices for cheese, i.e. "no cheese" is not an option.

For the other 5 condiments, there are 32 possible combinations (25) from taking nothing to all five.

In total, there are therefore 11*32=352 different sandwiches.

Note:
For the 5 condiments, the choices are
0 condiment - 1 choice
1 - C(5,1)= 5
2 - C(5,2)= 10
3 - C(5,3)= 10
4 - C(5,4)= 5
5 - C(5,5)= 1
for a total of (1+5+10+10+5+1)=32 choices.
C(n,k)=n!/(k!(n-k)!)

## Similar Questions

1. ### geometry

a deli slicer is used to cut cylindrical blocks of cheese for sandwiches. suppose a customer wants slices of cheese that are round and slices that are rectangular. explain how the cheese can be placed on the slicer to get each shape.
2. ### 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?
3. ### 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?
4. ### 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?
5. ### math

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?
6. ### 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. …
7. ### 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?
8. ### 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?
9. ### english

Is this a good paragraph with correct grammar?
10. ### statistics

4. A researcher is interested in comparing tastiness of different kinds of cheese in grilled cheese sandwiches. The researcher expects that Cheddar cheese grilled sandwiches are rated tastier than Swiss cheese grilled sandwiches. This …

More Similar Questions