Reputation
1,628
Top tag
Next privilege 2,000 Rep.
Edit questions and answers
Badges
4 31 77
Impact
~267k people reached

  • 0 posts edited
  • 0 helpful flags
  • 312 votes cast
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.
Feb
2
asked Combinatorics Problem with Number of Web Sites
Feb
2
comment Sodoku Puzzles and Propositional Logic
So, is what we have both said essentially the same, yours being more general?
Feb
2
comment Combinatorics/Probability Example
If we didn't use ${{95}\choose{9}}$ in the calculation, why did we have to find it?
Feb
1
asked Combinatorics/Probability Example
Feb
1
revised Combinatorics Statistics Question
edited title
Feb
1
asked Combinatorics Statistics Question
Feb
1
revised Generating Sets From Given Information
added 506 characters in body
Feb
1
comment Generating Sets From Given Information
The reason I ask is because $P(A \cup B)$ also includes the probability of getting $A$ and $C$ and $B$ and $C$, and it just seems odd that you wouldn't mention something like that in the question.