Question

A local sandwich shop has 12 different toppings you can choose to put on your sandwich. How many different 4-topping sandwiches could be createdwith the 12 toppings?1.11,880 sandwiches2.495 sandwiches3.1,280 sandwiches4.48 sandwiches

Answer 1

By using the Fundamental Counting Principle, there are 4 different items

We take the 4 different "events"

We have a choice of 12 toppings for the first event

12

Now there are only 11 toppings left to choose from for the second event

11

Now there are only 10 toppings to choose from for the third event

10

And there are only 9 toppings for the 4th event

9

Multiply these togetehr

12*11*10*9

11880

The number of different sandwiches is 11880