Good morning everyone, I'm a french student who wants to pass the contest of ENS Ulm I need specific problems and exercises, I hope someone would help me here... I know there are many french student in this forum. Let's start with this difficult oral which was given in ENS Paris:
What is the dimension of vector space of symmetric polynomials with $k$ variables and degree at most $n$ ?
I've seen this problem in this forum but no convincing answer were given. Thanks for your help, I'll be so much thankful.