How many words of $4$ consonants and $3$ vowels can be formed from $6$ consonants and $5$ vowels
$75000$
$756000$
$75600$
None of these
All the five digits numbers in which each successive digit exceeds its predecessor are arranged in the increasing order of their magnitude. The $97^{th}$ number in the list does not contain the digit:
In a conference of $8$ persons, if each person shake hand with the other one only, then the total number of shake hands shall be
Determine the number of $5$ card combinations out of a deck of $52$ cards if there is exactly one ace in each combination.
$^n{C_r}{ + ^n}{C_{r - 1}}$ is equal to
Ten persons, amongst whom are $A, B$ and $C$ to speak at a function. The number of ways in which it can be done if $A$ wants to speak before $B$ and $B$ wants to speak before $C$ is