Use the fundamental counting principle to solve the problem.
-A shirt company has 4 designs each of which can be made with short or long sleeves. There are 5 color patterns available. How many different shirts are available from this company?
A)40
B)20
C)9
D)11

Question

Quizplus · Accepted Answer

By using the fundamental counting principle, we can find the total number of different shirts by multiplying the number of choices for each category. In this case, there are 4 choices for sleeve length and 5 choices for color pattern. Therefore, the total number of different shirts is 4 x 5 = 20. To use the fundamental counting principle, we multiply the number of choices for each category. In this case, there are 4 designs and each design can be made with 2 sleeve lengths, giving us 4 x 2 = 8 options. Multiplying this by the 5 color patterns available, we get 8 x 5 = 40 different shirts available. Therefore, the answer is A).

Use the Fundamental Counting Principle to Solve the Problem