You have 5 shirts and 4 pairs of pants. How many different outfits can you put together?
This is obviously a homework question, however I had a lot of problems with probability as well so I'd feel bad if I didn't help you. We can use two methods.METHOD 1:(if you don't know permutations and combinations it would be better to look at method two)We can use any two of the 9 (5 shirts + 4 pants) for a outfit so we can use 9C2, Let us put this in the equation.9C2Now there are also pairs where you are wearing two shirts or two pants (I'm assuming that won't be a pair lol) so we also have to subtract 5C2 (shirts) and 4C2(Pants), let us add these numbers in.9C2–5C2–4C2 = 20Now I won't add the math because you can do that yourself but the end result will be 20.METHOD 2: (This is more simple however this can only be used on simpler problems)In this method think of all the combinations and how to get them.If there are 5 shirts and 4 pants, a pair can only be made by adding a shirt and a pant. So,Shirt 1: Shirt 2: Shirt 3: Shirt 4: Shirt 5:Pant 1. Pant 1 . . Pant 1. Pant 1. . Pant 1Pant 2. Pant 2. . Pant 2. Pant 2. . Pant 2Pant 3. Pant 3. . Pant 3. Pant 3. . Pant 3Pant 4. Pant 4. . Pant 4. Pant 4. Pant 4(Sorry if this model doesn't make sense)Basically these are all the possible combinations if we distribute all the 4 pants to each shirt, so in short we multiply 5 * 4 to get 20.ANSWER: 20
For doctors out there, I have a Cystic Fibrosis question. . . .?
Cystic Fibrosis affects many systems, but most severely the lungs. A good pulmonologist is essential. Also, you'll probably want to consult with an endocrinologist as well as a gastroenterologist for other management aspects. There is an AGONIZINGLY long answer about CF already posted, so I won't go into a lot of other detail. Good luck.