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How many inventions did Fred and George have? Fred and George Weasley are known for their trouble-making and general &quot;solemnly swearing they are up to no good&quot;. Their antics/adventures give something to smile about and show us not all wizards are as serious as Professor McGonagall and Hermione. This gives them a reputation of being less intelligent and indeed they only achieved three OWLs. However, we also see the twins have quite a brilliant side! Being able to open and successfully run a shop in Diagon Alley without having completed their Hogwarts education is no easy take (IMO, anyway). Their creations helped students get out of class, our heroes out of tight spot, and even stop our enemies execute an evil plot. Ginny may have said it best:  &quot;We’ve been hearing explosions out of their room for ages, but we never thought they were actually making things,&quot; said Ginny. &quot;We thought they just liked the noise.&quot; Harry Potter and the Goblet of Fire  Do we know how many things Fred and George invented? Where should I copy-paste-install software to? I'm installing IntelliJ, and the readme tells me to choose an installation folder. Where is a good, standard place to put installed programs? How to type "ç" when using USA intl as the keyboard layout? I asked  but I can't make that solutions work on Unity. I want to use the keys ´ followed by c and the output should be "ç". It works that way in Windows out of the box, and it did work in Ubuntu 10.10 following the solutions given in the question above. But in 11.04 it outputs "ć". How to change that? Why does the dock appear on the left when my screen is locked? The dock doesn't work correctly after I enter my password, either. How do I turn off some formats in GeoServer's WMS? I have published a couple of layers on my Geoserver.  To be complaint with the T&amp;C of my data provider, I need to block the access of some of those layers as Vector data. Hence I have already blocked the WFS services on these Layers.  I came to know that even on the WMS service, you can get Vector Data, if you use GeoRSS and some of the .   How do I block GeoRSS, SVG &amp; UTFGrid as formats in the WMS Service? Proving that $ 2 $ is the only real solution of $ 3^x+4^x=5^x $ How we can show every permutation is either even or odd,but not both......I can't arrive at a proof for this ..... Can anybody give me the proof...  Thanks in advance... Commas for multiple adjectives What is wrong with this chi-squared calculation? I am calculating chi-squared in R and manually, and getting two different answers. I believe that R is correct, but I am not 100% sure.  Can someone please help me understand why?  In R:  test           &lt;- matrix(c(4203, 4218, 786, 771), ncol=2) dimnames(test) &lt;- list(group = c("control","exp"), click = c("n","y")) print(test) print(Xsq      &lt;- chisq.test(test, correct=F))    This gives me $\chi^2 = 0.1712$.  If I do this by hand, however, I get $0.339$.  Here is my calculation: \begin{align} \frac{(E1 - O1)^2}{E1}     &amp;+ \frac{(E2 - O2)^2}{E2}    &amp;  \\ \frac{(4203-4218)^2}{4203} &amp;+ \frac{(771 - 786)^2}{786} &amp;= .3398 \end{align} How do I do Combinatorics / Counting? If someone could give answers and explain, it would be greatly appreciated. Help required studying for a final.  One hundred tickets, numbered 1,2,3,…,100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).   A) How many ways are there to award the prizes?  B) How many ways are there to award the prizes if the person holding ticket 47 wins the grand prize?  C) How many ways are there to award the prizes if the person holding ticket 47 wins one of the prizes?  D) How many ways are there to award the prizes if the person holding ticket 47 does not win a prize?  E) How many ways are there to award the prizes if the people holding tickets 19 and 47 both win prizes?  F) How many ways are there to award the prizes if the people holding tickets 19, 47, 73, and 97 all win prizes?  G) How many ways are there to award the prizes if none of the people holding tickets 19, 47, 73, and 97 wins a prize?  H) How many ways are there to award the prizes if the grand prize winner is a person holding ticket 18, 47, 73, or 97?  I) How many ways are there to award the prizes if the people holding tickets 19 and 47 win prizes, but the people holding tickets 73 and 97 do not win prizes? Silencing "Your disk is almost full" notification In a group $G$, if for all $a,b,c\in G$, $ab=ca\Rightarrow b=c$, then $G$ is abelian Let $G$ be a group. If for all $a,b,c\in G$, $ab=ca\Rightarrow b=c$, then phow can I prove that  $G$ is abelian? Django - specify which model manager Django admin should use How to derive this binomial identity? How do I use a small font size in questions and answers? Is there any way to use a small font size in questions or answers? That is, for the purpose of minor and possibly irrelevant information?  I've checked the Markdown syntax but couldn't find anything. However I feel I've seen it on the site somewhere... LuaLaTeX protrusion problem with Negative value Plotting layer given with Longitudes [0 360] to [-180 180]? I have a world map in correct Longitudes from -180° to 180°. Additionally, I have a shapefile of data from South America, which shows at 290° instead of -70°. How can I reproject it using QGIS? Scale Space Between Multiple Objects If I have multiple objects selected can I use scaling to make the objects closer together (without rescaling the objects)? Essentially, I would like to set my phone so that all my outgoing messages to a specific friend, with whom I currently text back and forth over iMessage, are sent out over SMS, never iMessage. Additionally, I would like to block any incoming iMessage texts of his and (hopefully) they'll fail and be resent via SMS.  Let me restate that: I would like to force SMS for both parties, going both ways, for a specific individual contact.   Is this possible? Blocking any usage of iMessage between myself and this other individual, so they must either send and receive any texts to or from me via SMS (or the texts fail/never arrive). Why can't a normal user `chown` a file?