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problems below. Imagine that you are picking out what to wear to school. The uniform you must wear consists of 2 shirts (navy, white) 2

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problems below. Imagine that you are picking out what to wear to school. The uniform you must wear consists of 2 shirts (navy, white) 2 pairs of pants (navy, khaki) and 2 ties (red, blue). Abbreviate them to NS and WS for the shirts, NP and KP for the pants and RT and BT for the ties. 1) Assuming that you must choose a shirt, a pair of pants and a tie, list all of the different possible outfits you can make: 2) How many outfits did you list? This is a typical counting problem. It didn't take long because your choices were limited. If there had been 7 different shirts or 5 different pants, it would have been a lot more difficult. Ultimately, we need to come up with a better method than listing everything out. The best way to approach this sort of problem is by using The Task Method, also known as The Multiplication Principle. You list out all of the tasks that you are asked to do in the problem, figure out how many possible options there are for each task, and then multiply them. So go back to standing in your closet. There are 3 things you must do in order to get dressed: 3) Task 1: Pick a shirt. How many options do you have? 4) Task 2: Pick a pair of pants: How many options do you have? 5) Task 3: Pick a tie: How many options do you have? 6) Now multiply all of your answers from above to get the answer to the problem. (It should match your original answer.) 7) Does the order in which you do your tasks

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