Let X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p). Find the variance of n−Xn-Xn−X.
np(1−p)np(1-p)np(1−p)
n2p(1−p)n^2 p(1-p)n2p(1−p)
(n−p)(1−p)(n-p)(1-p)(n−p)(1−p)
n(1-p)