Find the value n = n² that causes the function w = (n!)²(n - n)!p^n(1 - p)^(n - n) to be at a maximum, for constants p and n. Use Stirling’s approximation, x! ' (x/e)ˣ.

a) n = 0
b) n = p
c) n = p/2
d) n = √p