I was curious about the general Faulhaber's formula which states according to wiki
where
Unfortunately, I don't understand . Is that a vector?
Hi, datanewb.
The term you're asking about is read 'p+1 choose j.' If you've ever learned about permutations and combinations before, it's a combination - specifically how many ways can you pick j things from a pile containing p+1 things if order does NOT matter.
For example, consider the collection {a,b,c}. If we wanted to know how many different ways we could pick 2 things from this set it would be .
The exact formula is given by
If you want to know where the formula comes from let me know. Does this answer your question? Let me know.
Good luck!
Thank you both: Plato for you quick response and GJA for adding those excellent details. Knowing how to pronounce n choose k was very helpful, as well as it's application. I am curious where it comes from. You've already been extremely helpful! I will read up on the binomial coefficient, but if you have a good explanation, that wouldn't take too long to write, I'd appreciate hearing that as well, @GJA.
Thank you again.