Originally Posted by

**mymy** 2. a) Use the suitable counting technique to solve the following problems. Discuss and show the steps on how you the answer.

i. An office building contains 28 floors and has 39 offices on each floor. How many offices are there in the building?

ii. A shirt of the ABC brand comes in 12 colors, has a male version and a female version and comes in three sizes for each male and female. How many different types of this shirt are made?

iii. How many different three-letter initials with none of the letters repeated can people have?

iv. Assume that there are five major auto routes from the city X to Y and seven auto routes from the city Y to Z. How many major routes are there from X to Z via Y.

b) Describe the counting techniques that you have chosen to solve 2(a)(i) – (iv). Why did you choose this technique and in what situation is it appropriate to be used. Discuss other TWO (2) counting techniques that you know.