The solution set of $^{10}{C_{x - 1}} > 2\;.{\;^{10}}{C_x}$ is
$ \left \{ 1,2,3, \right \}$
$\left \{4,5,6,\right \}$
$\left \{8,9,10,\right \}$
$\left \{ 9,10,11,\right \}$
A committee of $11$ members is to be formed from $8$ males and $5$ females. If $m$ is the number of ways the committee is formed with at least $6$ males and $n$ is the number of ways the committee is formed with at least $3$ females, then
The number of ways in which we can select three numbers from $1$ to $30$ so as to exclude every selection of all even numbers is
Determine the number of $5$ card combinations out of a deck of $52$ cards if there is exactly one ace in each combination.
It is required to seat $5$ men and $4$ women in a row so that the women occupy the even places. How many such arrangements are possible?
How many words can be made from the letters of the word $BHARAT$ in which $ B $ and $H$ never come together