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
$126(5 !)^2$
$7(360)^2$
$720$
$7(720)^2$
If $^{2n}{C_3}:{\,^n}{C_2} = 44:3$, then for which of the following values of $r$, the value of $^n{C_r}$ will be 15
In how many ways can a girl and a boy be selected from a group of $15$ boys and $8 $ girls
What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these
four cards are of the same suit,
A set contains $(2n + 1)$ elements. The number of sub-sets of the set which contains at most $n$ elements is :-
Total number of $3$ letter words that can be formed from the letters of the word $'SAHARANPUR'$ is equal to