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.

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following