Easy# Solving for Parameters in a Binomial Probability Mass Function

STATS-GKGHFN

Suppose a student was copying down a professor's example on Binomial probability mass functions. In the process, the student miscopied and wrote down the probability expression for some Binomial random variable $X$ given $P(X=5)={m \choose 5}p^{5}(.65)^{10}$.

Which of the following best describes the values of $m$ and $p$ which should have been copied as numbers?