Posted by **Jennifer** on Monday, March 2, 2009 at 12:45am.

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!

- Finite Math -
**Reiny**, Monday, March 2, 2009 at 12:48am
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.

- Finite Math -
**Jennifer**, Monday, March 2, 2009 at 1:00am
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!!

- Finite Math -
**drwls**, Monday, March 2, 2009 at 5:27am
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.

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