1. What is the coefficient of $x^{13}y^{10}$ in $(x+y)^{23}$

Answer: $\binom{23}{10}$ or $\binom{23}{13}$ = 1,144,066

2. What is the coefficient of $x^4y^6$ in $(2x + 3y)^{10}$?

Answer: $\binom{10}{6}$ or $\binom{10}{4}$ = 210

I feel like this problems are pretty simple but I just want to make sure that I have the right understanding of them. If my answers are wrong can someone explain why?

Any insight will be much appreciated!