Question

A sandwich consists of one type of meat, one type of condiment, and
one type of cheese. The possible choices are listed below:
Meat: beef, chicken, turkey
Condiment: ketchup, mustard, mayonnaise
Cheese: American, cheddar, provolone, mozzarella
In the sample space of all the possible different sandwiches consisting
of one type of meat, one type of condiment, and one type of cheese,
how many sandwiches do not include provolone cheese?
(1) 27 (3) 3
(2) 9 (4) 36

Answer 1

Go through all possible combinations without provolone:
1. Beef, Ketchup, American
2. Beef, Ketchup, Cheddar
3. Beef, Ketchup, Mozzarella

Continue doing this for all of them, making sure you combine everything with everything else.

26. Turkey, Mayonnaise, Cheddar
27. Turkey, Mayonnaise, Mozzarella

By doing this, you come to the answer 27.

Answer 2

The number of different sandwiches made using  one type of meat, one type of condiment, and one type of cheese that do not include provo cheese is 27

Only 3 options for Cheese because provolone cheese is excluded

Given :

The possible choices of making sandwiches are listed  

 

Provolone cheese is not included

for meat we have 3 choices

For Condiment we have 3 choices

for Cheese we have 3 choices

Different sandwiches consisting of one type of meat, one type of condiment, and one type of cheese,.

to find out possible different sandwiches that do not include provolone cheese , we need to multiply the choices available for each

$3 \cdot 3 \cdot 3=27$

The number of different sandwiches made using  one type of meat, one type of condiment, and one type of cheese that do not include provo cheese is 27

Learn more :  brainly.com/question/12985239