An electronic relay box has 2 switches each of them can be s

An electronic relay box has 2 switches, each of them can be set in 3 different positions, and 1 switch that can be set in 2 positions. In how many ways can the relay\'s switches be set?

Solution

The first two switches can be set in 3 different positions each. So 3*3 =9 ways to set those two switches

And 2 ways to set the third switch

So, total 9*2=18 ways