Total number of $3$ letter words that can be formed from the letters of the word $'SAHARANPUR'$ is equal to

How many words of $4$ consonants and $3$ vowels can be formed from $6$ consonants and $5$ vowels

A committee of $12$ is to be formed from $9$ women and $8$ men in which at least $5$ women have to be included in a committee. Then the number of committees in which the women are in majority and men are in majority are respectively

From $6$ different novels and $3$ different dictionaries, $4$ novels and $1$ dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is :

The number of seven digit positive integers formed using the digits $1,2,3$ and $4$ only and sum of the digits equal to $12$ is $...........$.

A person wants to climb a $n-$ step staircase using one step or two steps. Let $C_n$ denotes  the number of ways of climbing the $n-$ step staircase. Then $C_{18} + C_{19}$ equals