How many solutions are there to the equation u+v+w+x+y+z where u,v,w,x,y and z are nonnegative integers?
that's not an equation...
Does it not say =6 at the end?. On my screen it says u+v+w+x+y+z=6
It doesn't on my end...
Use stars and bars.
There are 6 stars and 4 bars for \({6 + 4 \choose 4} = {10 \choose 4} = \color{brown}\boxed{210}\)
210 is incorrect according to the system.
There are actually 6 stars and 5 bars, as there are 6 of these integers. You should be able to sovle the problem now, Builderboi just made a tiny error.
+275 
+2666 
