The number of words (with or without meaning) that can be formed from all the letters of the word $"LETTER"$ in which vowels never come together is
$80$
$100$
$120$
$60$
The number of ways, in which $5$ girls and $7$ boys can be seated at a round table so that no two girls sit together, is
If $n = ^mC_2,$ then the value of $^n{C_2}$ is given by
In how many ways can one select a cricket team of eleven from $17$ players in which only $5$ players can bowl if each cricket team of $11$ must include exactly $4$ bowlers?
A class contains $b$ boys and $g$ girls. If the number of ways of selecting $3$ boys and $2$ girls from the class is $168$, then $b +3\,g$ is equal to.
The number of matrices of order $3 \times 3$, whose entries are either $0$ or $1$ and the sum of all the entries is a prime number, is$....$