The number of ways of dividing $52$ cards amongst four players equally, are
$\frac{{52\;!}}{{{{(13\;!)}^4}}}$
$\frac{{52\;!}}{{{{(13\;!)}^2}\;4\;!}}$
$\frac{{52\;!}}{{{{(12\;!)}^4}\;(4\;!)}}$
None of these
A group of students comprises of $5$ boys and $n$ girls. If the number of ways, in which a team of $3$ students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is $1750$, then $n$ is equal to
How many words, with or without meaning, each of $3$ vowels and $2$ consonants can be formed from the letters of the word $INVOLUTE$?
All possible numbers are formed using the digits $1, 1, 2, 2, 2, 2, 3, 4, 4$ taken all at a time. The number of such numbers in which the odd digits occupy even places is
The number of ways in which $21$ identical apples can be distributed among three children such that each child gets at least $2$ apples, is
In a city no two persons have identical set of teeth and there is no person without a tooth. Also no person has more than $32$ teeth. If we disregard the shape and size of tooth and consider only the positioning of the teeth, then the maximum population of the city is