If $^{20}{C_{n + 2}}{ = ^n}{C_{16}}$, then the value of $n$ is
$7$
$10$
$13$
No value
(d) No value can satisfy.
If $^{n + 1}{C_3} = 2{\,^n}{C_2},$ then $n =$
Out of $10$ white, $9$ black and $7$ red balls, the number of ways in which selection of one or more balls can be made, is
Team $'A'$ consists of $7$ boys and $n$ girls and Team $'B'$ has $4$ boys and $6$ girls. If a total of $52$ single matches can be arranged between these two teams when a boy plays against a boy and a girl plays against a girl, then $n$ is equal to
How many numbers of $6$ digits can be formed from the digits of the number $112233$
The number of ways to give away $25$ apples to $4$ boys, each boy receiving at least $4$ apples, are
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