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Feb
3
comment Probability of A Specific Type of Experiment Occuring
Hmm, people just seemed to suddenly stop viewing this thread. Perhaps word got out that this is too boring of a problem.
Feb
3
accepted Does the logical equivalence of 2 statements imply their semantic equivalence in everyday language?
Feb
3
accepted Negating A Mathematical Statement
Feb
3
accepted Simultaneous Equations and Vectors
Feb
3
revised Probability of A Specific Type of Experiment Occuring
edited tags
Feb
3
asked Probability of A Specific Type of Experiment Occuring
Feb
3
accepted Sodoku Puzzles and Propositional Logic
Feb
3
comment Combinatorics Problem: To order or not to order.
I'm sorry, I honestly can't see why you perform a combination and then multiply by $9!$. For a), I did a permutation and I got the same answer. For b), I did multiplied $P_{15,9} \cdot P_{15,9}$, but was off from the answer by a factor of 2 and I can't figure out why.
Feb
2
comment Combinatorics Problem: To order or not to order.
When you say, "...the list starts out as a list of the 9 playing positions (catcher, pitcher, first base, etc.)," does that correspond to ${{15}\choose{9}}$, which says out of the 15 positions how many ways can you arrange 9 of them?
Feb
2
comment Combinatorics Problem: To order or not to order.
Well, my book must be wrong: for a), the answer is 1,816,214,400; for b), the answer is 659,067,881,572,000; and for c), the answer is 9,072,000. Are all of these incorrect?
Feb
2
comment Combinatorics Problem: To order or not to order.
I'm having difficulty seeing why I am suppose to perform a permutation, instead of a combination, for part a. Call the players on the team $a,b,c,d,e,f,g,h,i,j,k,l,m,n,o$. Wouldn't this list for a 9-person starting line-up$a,b,c,d,e,f,g,h,i$ be the same as $i,h,g,f,e,d,c,b,a$? After all, it simply a a list of active players, and there order doesn't say anything about there position in the game.
Feb
2
comment Combinatorics Problem: To order or not to order.
Oh, I see. I didn't even know what a starting line-up was. So, the starting line-up is just a list of players who operate the bat, but in no particular order?
Feb
2
comment Combinatorics Problem: To order or not to order.
I'm sorry, but I don't see how it is clear.
Feb
2
asked Combinatorics Problem: To order or not to order.
Feb
2
comment Combinatorics Problem with Number of Web Sites
Interesting, I'll keep this is problem in mind when I come to these mathematical tools you are alluding to.
Feb
2
comment Combinatorics Problem with Number of Web Sites
I'm not entirely sure. In my original post, I thought I was answering the question I posed of finding the number of domains where lexicographic ordering mattered. For instance, the first letter in your domain could be the letter b, and so a letter occupying the 2nd or third position couldn't be the letters a or b. So, b was the first letter, then there are 24 letter for the next choice and 23 letter for the third choice.
Feb
2
comment Combinatorics Problem with Number of Web Sites
I calculated that combination, which is 2600, and obviously its different from my answer, but not on a large magnitude. What is wrong with my procedure?
Feb
2
comment Combinatorics Problem with Number of Web Sites
Haha, yeah, I see.
Feb
2
comment Combinatorics Problem with Number of Web Sites
@BrianM.Scott Actually, now that you mention it, I am having trouble with part d. I thought the probability would simply be $97786/169616$, but it isn't.
Feb
2
comment Combinatorics Problem with Number of Web Sites
That's precisely what it is. Except, my last question was one that I had thought of myself.