Macaroon

The exclamation marks are a symbol used for taking a factorial, which multiplies all whole numbers up to and including the number you're doing the operation on. So, 5! = 5*4*3*2*1 = 120. Since the formula is a fraction, where I happened to get that from is this: 44! / (44-4)! We can expand 44! a little bit to make our lives easier. 44 * 43 * 42 * 41 * 40! / 40! The 40! on both parts of the fraction cancel, leaving you with that leftover multiplication to do. Mind you, this is a permutation- order does matter. If we received from the prompt that order was irrelevant, we would approach this differently. (Combinations actually have less choices than permutations because of this; (9,0) is the same thing as (0,9) in combination-land. Permutations would have these be two different possibilities added to the count.)

Hello! Here's my numbers... Female, 20, trying for a Math Ph.D cGPA; 3.295 (It's going up, I promise) GPA in major: 3.579 I have a symposium presentation under my belt, and I've been invited to present again and potentially write an article about the subject. It is math related. I know I could get three math professors to write letters for me. It's a small department where I go to school and they all get along well with me. So, what do you think? I'm in the Southeast US; and although I would prefer to stay in NC, my folks are trying to get to FL so I'm open to that too. That, and most math Ph.Ds have a stipend, if memory serves me right. Thank you in advance for your help!

The formula is (n!/(n-r)!), where n is the things that you have and r is the amount of things you want in your set. This is assuming order matters, because (40, 19, 27, 5) is different from (5, 27, 40, 19). So, based on that formula, you get: 44 * 43 * 42 * 41 = 3,258,024 If you have further issues with these types of problems, try this link: Combinations and Permutations

Hello folks, I'm new here, just joined today. Figured I should also post here. :D

Hello, everyone! I'm currently a junior, but I can graduate this year and I intend to- I only need two summer classes and I'm done. (A year's worth of tuition for two classes just seemed a little stupid.) I'm planning to pursue a Ph.D in Mathematics; that's what my major is right now. I'm interested in mathematical modeling and mathematical biology as well; so I will be applying to different programs. I've done some research and presented it at a symposium that my college holds; and I was invited again and I am currently working with my advisor to write an article, potentially getting published. (It's about the history behind a branch of math; which is fascinating in its own right. And relevant! :D) I decorate cakes for hobby and make other little pastries, hence the username. If I get accepted for next year, I could have my Ph.D at 25. (Assuming everything works out, of course, and I could get my degree in 5 years.) So, yes, it's good to meet you all! :grad: