what is the coefficient of x^5y^5 in the expansion of (x+y)^10

Answer:
The answer is option C= 252
Step-by-step explanation:
To get the coefficient of [tex]x^{5}y^{5}[/tex] we will put r = 5, in the below given general term.
The general term is : nCr [tex]x^{r}[/tex] [tex]y^{n-r}[/tex]
We get:
Coefficient is = 10C5 = [tex]\frac{10!}{5!*5!}[/tex]
= 252
So, option C is correct.