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 Nov 8 accepted Questions about how to input both odds and payoff into expected value function Nov 6 asked Questions about how to input both odds and payoff into expected value function Oct 31 comment How many permutations of letters are in “MATHISFUN” without words MATH , IS , FUN @cr001 How are the intersects being calculated? Oct 25 accepted Transforming and identity for $n \choose k$ with the “committee and chair” trick Oct 25 comment Transforming and identity for $n \choose k$ with the “committee and chair” trick @Travis Yes, thanks. That is painfully obvious now. For some reason I was having trouble seeing the division. Consider posting that as an answer so I can close the question. Oct 25 asked Transforming and identity for $n \choose k$ with the “committee and chair” trick Oct 12 asked Trying to understand the phrasing of an elementary combinatorics question's answer Oct 10 accepted Confused about how to solve basic combinatorial problem Oct 10 comment Confused about how to solve basic combinatorial problem Thank you. Reducing the problem to an "Urn Game" really makes the derivation of the solution clear. Also, treating the men and women as different events and multiplying them to get the total number of combinations was also instructive. Oct 10 revised Confused about how to solve basic combinatorial problem just cleaning up Oct 10 asked Confused about how to solve basic combinatorial problem Oct 10 accepted Confused by book's given solution to basic combinatorial problem Oct 10 comment Confused by book's given solution to basic combinatorial problem Thanks for the help! Oct 10 comment Confused by book's given solution to basic combinatorial problem Yes, my language was a little sloppy. Just to ensure I understand, if we were to ask the same original question, with the caveat that a team may be labelled as "home" or "away", then the correct answer would be ${10\choose5}$ because similar (but differently ordered) results are in fact unique due to the home/away designation. In other words, we could say that the ${10\choose5}$ represents the home team. Is this right? Oct 10 awarded Commentator Oct 10 comment Confused by book's given solution to basic combinatorial problem So just to clarify, I am double counting by considering team {1,2,3,4,5} and team {6,7,8,9,10} as unique results, when in fact they represent the same outcomes. Is that correct? Oct 10 comment Confused by book's given solution to basic combinatorial problem @bof Excellent question. Clearly it is half. But what part of my logic is incorrect? Where am I double counting? Oct 10 asked Confused by book's given solution to basic combinatorial problem Sep 30 accepted Finding lowest possible value for conditional set of variables. Sep 30 comment Finding lowest possible value for conditional set of variables. @joriki Did you find your answer using an approach similar to the one described by lulu? If not, what was your approach?