Your sweet new bicycle has 2 front sprockets and 11 rear sprockets. Each distinct combination of a front sprocket with a rear sprocket constitutes a different gear on a bicycle. How many gears does your bicycle have?

Your bicycle has 22 gears.

Step-by-step explanation:

The number of gears in the bycicle is the number of combinatiors of a front sprocket and a rear sprocket.

For each front sprocket, there are 11 rear sprockets. There are 2 front sprocts.

So, the number of gears that your bicycle has is

2*11 = 22.