# MLE Binomial, Calculation error?

On line 3, if you multiply $$L(p \mid \boldsymbol y) = f(\boldsymbol y \mid p) = \prod_{i=1}^n \binom{n}{y_i} p^{y_i} (1-p)^{n-y_i}.$$

why does the power on the (1-p) not go to $$n^2 - \sum_{i=1}^n Y_i$$ since youre multiplying (n-yi) n times?

Thank you!

You're right, it should be $n^2$.
(It's not clear to me why you have $n$ both as the number of trials in the binomial distribution and as the number of data points, but that doesn't invalidate your argument; the exponent should contain the product of the two.)