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.

i cannot answer and understand this question..someone can help me?

Well, what "counting techniques" do you know? Do you know the "fundamental counting principle": if A can "happen" in n ways, and, for each of those B can "happen in m ways, then A and B can happen together in mn ways. Do you know what permutations and combinations are? If someone expects you to be able to do these problems, you must know something about these things!

Amazing - your answer to his question was basically "go find the answer!" Why waste time to type if your reply consists of a lecture to do it himself? At least solve the easy problem to motivate the student before lazily sending them on their way. Some advice - find an English Language Help Forum and ask for assistance in defining the word "Help."