The numbers of permutations of $n$ things taken $r$ at a time, when $p$ things are always included, is
The numbers of permutations of $n$ things taken $r$ at a time, when $p$ things are always included, is
- A
$^n{C_r}\;p\;!$
- B
$^{n - p}{C_r}\;r\;!$
- C
$^{n - p}{C_{r - p}}\;r\;!$
- D
None of these
Similar Questions
In the $13$ cricket players $4$ are bowlers, then how many ways can form a cricket team of $11$ players in which at least $2$ bowlers included
In the $13$ cricket players $4$ are bowlers, then how many ways can form a cricket team of $11$ players in which at least $2$ bowlers included
If $^{20}{C_{n + 2}}{ = ^n}{C_{16}}$, then the value of $n$ is
If $^{20}{C_{n + 2}}{ = ^n}{C_{16}}$, then the value of $n$ is
How many different words can be formed by jumbling the letters in the word $MISSISSIPPI$ in which no two $S$ are adjacent $?$
How many different words can be formed by jumbling the letters in the word $MISSISSIPPI$ in which no two $S$ are adjacent $?$
- [AIEEE 2008]
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
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
- [JEE MAIN 2021]
How many words can be made from the letters of the word $BHARAT$ in which $ B $ and $H$ never come together
How many words can be made from the letters of the word $BHARAT$ in which $ B $ and $H$ never come together
- [IIT 1977]