Is that the same as the ways can one select a team of five students out of ten students which is ten choose two or I misunderstand this point
In how many different ways can you split $10$ people into two groups with the same amount of people?  My attempt: Since the order in which you choose someone doesn't matter, I chose to calculate the combinations: $10 \choose 5$
Preventing applications from stealing focus What is the difference between an "API," a "framework," an "IDE," and an "engine?" How do the EV stats work? Move the Add Favorite / Ignored Tags boxes to the top It seems that most people who use the ignored tags feature end up with a fairly long list of those tags.  Although , it is sometimes necessary to add new ignored tags manually (typically when adding some-tag*).  It would be a lot easier if the add box was above the long list of ignored tags rather than below. I suppose the same would apply to the favorites tags for consistency's sake. Finite order endomorphisms Why the finite order endomorphisms are diagonalizable over the complex numbers (or any algebraically closed field where the characteristic of the field does not divide the order of the endomorphism) with roots of unity on the diagonal? SF novel -- the only human on a space station full of aliens Some things I remember:   Pretty sure the author was female The novel had won some award or other The title was one word (I think) and it started with "I" (I think) It would have come out in the mid to late 90s or early 2000s It was a paperback or trade paperback, in English.  The book was originally written in English as far as I know. The cover, if I remember correctly, had an orangish background.   The plot involved a sole human representative to what was effectively an alien "United Nations" type of organization.  There were myriad types of aliens, many of whom were completely biologically incompatible.  Even the ones that could live in the same conditions generally found each other either repugnant or incomprehensible.  The main character ended up feeling incredibly lonely and was "set up" with a superficially similar humanoid female, but found their pheromones were incompatible and it was still difficult to communicate. Idiomatic batch processing of text in Emacs? Cannot change lock screen background on Ubuntu 18.04 When does HashSet 'add' method calls equals? If the plural of ‘man’ is ‘men,’ shouldn’t the plural of ‘German’ be ‘Germen’? What makes these two words so different that 'man' is changed to 'men', but 'German' is changed to 'Germans'? Initializing C# auto-properties I'm used to writing classes like this:  public class foo {   private string mBar = "bar";   public string Bar {     get { return mBar; }     set { mBar = value; }   }   //... other methods, no constructor ... }   Converting Bar to an auto-property seems convenient and concise, but how can I retain the initialization without adding a constructor and putting the initialization in there?  public class foo2theRevengeOfFoo {   //private string mBar = "bar";   public string Bar { get; set; }   //... other methods, no constructor ...   //behavior has changed. }   You could see that adding a constructor isn't inline with the effort savings I'm supposed to be getting from auto-properties.  Something like this would make more sense to me:  public string Bar { get; set; } = "bar"; Categorical Principal Component Analysis - using Count, Continuous, Ordinal variables together I have some variables and I want to reduce their number for further analysis. I initially thought of combining them using factor analysis. But since the variables are of all kinds (rating, count, ordinal, continuous dollar amount) I am thinking about using CATPCA for it. However, I have some questions about the technique -   Is CATPCA the right approach or Latent Class Factor Analysis would be the better one? By using the different kinds of variables together - how will the object scores be interpreted? For example - The rating question is on a 10 point scale but the dollar amount ranges from 0 to 1000s, so what will the object score obtained after CATPCA represent? And is it comparable to the Factor Score obtained from traditional PCA? For ordinal variables - Do all of them need to be in the same form, e.g. 1 meaning lowest and 10 meaning highest? Or can they be used in whatever form they are? Is it good to categorize the count and continuous variables based on their distribution and then treat then as ordinal/categorical variables?   I would highly appreciate any help you can provide! Opposite of "trendy" without a negative meaning I am looking for an opposite to the word trendy without giving a meaning that those who adopted the trend are old-fashioned in hindsight. For example,     Service Oriented Architecture is the trend as of now. But what is trendy in 2014 can become ______ in 2015.   So in 2015, the trend becomes widespread to the extent that it is no longer trendy, but not necessarily old-fashioned.  Edit: I am currently thinking of using mainstream. But still any other thoughts are welcome! Is ¬¬(¬¬P → P) provable in intuitionistic logic? How can I change font rendering to sub-pixel BGR ordering? Matching a sentence with grep Looking for the proof of the lemma asserting that the conical surface (envelope) is a closed space. Thank you. Why Multiplication of zero by any number is zero? If I multiply $a$ by $0$, it means $a$ is added $0$ times, but I am not able to visualize $0$ times! $(K[x,y,z]/(x^2+y^3+z^7))_{(x,y,z)}$ is a UFD. Show that any bounded linear functional on a normed linear space is continuous Show that any bounded linear functional on a normed linear space is continuous.   Can we say that it is uniformly continuous ?   Also, is it true, if we reverse the statement    any continuous  linear functional on a normed linear space is bounded ??