If $\binom{p}{q}={ }^p C_q$ and $\sum\limits_{i=0}^m\binom{10}{i}\binom{20}{m-i}$ is maximum, then $m=$

The number of all possible positive integrals solutions of the equation $x y z=30$ is

The number of all five letter words (with or without meaning) having atleast one repeated letter than can be formed by using the letters of the word INCONVENIENCE is

The number of ways of arranging all the letters of the word PERFECTION such that there must be exactly two consonants between any two vowels is