A delicatessen serves meat sandwiches with the following options: 3 kinds of breads, 5 kinds of meat, and lettuce or sprouts. How many different sandwiches are possible, assuming that one item is used out of each category?
Thank you!
3 ways to pick the bread, 5 ways to pick the meat, and 2 ways for toppings
no of sandwiches = 3x5x2 or 30 different ones.
A manufacturing company in city A wishes to truck its product to 4 different cities, B, C, D, and E. If the cities are all interconnected by roads, how many different route plans can be constructed so that a single truck, starting from A, will visit each city exactly once, then return home?
Thank you for your help!!
There are four choices for the second city, three for the third, and two for the fourth. The fifth city has only one option once the previous choices are made.
That makes a total of 4! = 24 routes, assuming you do not return to the same city twice.
To find the total number of different sandwiches, we need to multiply the number of options for each category.
First, we have 3 options for the type of bread: let's call them Bread1, Bread2, and Bread3.
Next, we have 5 options for the type of meat: let's call them Meat1, Meat2, Meat3, Meat4, and Meat5.
Lastly, we have 2 options for the type of greens: lettuce or sprouts.
To calculate the total number of different sandwiches, we multiply the number of options for each category:
3 kinds of breads x 5 kinds of meat x 2 types of greens = 30 possible sandwich combinations.
Therefore, there are 30 different sandwiches possible when considering one item from each category.