$^{n - 1}{C_r} = ({k^2} - 3)\,.{\,^n}{C_{r + 1}}$ if $k \in $
$^{n - 1}{C_r} = ({k^2} - 3)\,.{\,^n}{C_{r + 1}}$ if $k \in $
- [IIT 2004]
- A
$[ - \sqrt 3 ,\,\sqrt 3 ]$
- B
$( - \infty ,\, - 2)$
- C
$(2,\,\infty )$
- D
$(\sqrt 3 ,\,2)$
Similar Questions
In a shop there are five types of ice-creams available. A child buys six ice-creams.
Statement $-1 :$ The number of different ways the child can buy the six ice-creams is $^{10}C_5.$
Statement $-2 :$ The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging $6 \,A's$ and $4 \,B's$ in a row.
In a shop there are five types of ice-creams available. A child buys six ice-creams.
Statement $-1 :$ The number of different ways the child can buy the six ice-creams is $^{10}C_5.$
Statement $-2 :$ The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging $6 \,A's$ and $4 \,B's$ in a row.
- [AIEEE 2008]
The value of $^{15}{C_3}{ + ^{15}}{C_{13}}$ is
The value of $^{15}{C_3}{ + ^{15}}{C_{13}}$ is
$m$ men and $n$ women are to be seated in a row so that no two women sit together. If $m > n$, then the number of ways in which they can be seated is
$m$ men and $n$ women are to be seated in a row so that no two women sit together. If $m > n$, then the number of ways in which they can be seated is
- [IIT 1983]
If $^{n + 1}{C_3} = 2{\,^n}{C_2},$ then $n =$
If $^{n + 1}{C_3} = 2{\,^n}{C_2},$ then $n =$
In an election there are $8$ candidates, out of which $5$ are to be choosen. If a voter may vote for any number of candidates but not greater than the number to be choosen, then in how many ways can a voter vote
In an election there are $8$ candidates, out of which $5$ are to be choosen. If a voter may vote for any number of candidates but not greater than the number to be choosen, then in how many ways can a voter vote