Assume that there are 6 types of upholstery, 2 types of wood, and 2 designs to choose from. Of the designs, 1 design permits both a choice of wood and a choice of upholstery, but 1 of the design allows only a choice of upholstery. How many different chairs can be made?

18

Step-by-step explanation:

First design: upholstery and wood

Second design: upholstery

For the first design the possible chairs we can make are 6 with the first type of wood and 6 with the second one. Therefore we sum both results=12.

For the second the possible chairs we can make are 6.

The total of possibles chairs we can make are 6 + 12 = 18.