$^{n - 1}{C_r} = ({k^2} - 3)\,.{\,^n}{C_{r + 1}}$ 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
How many words, with or without meaning, each of $2$ vowels and $3$ consonants can be formed from the letters of the word $\mathrm{DAUGHTER}$ ?
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$\sum\limits_{r = 0}^m {^{n + r}{C_n} = } $
$\sum\limits_{r = 0}^m {^{n + r}{C_n} = } $
A test consists of $6$ multiple choice questions, each having $4$ alternative ans wers of which only one is correct. The number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct, is
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- [JEE MAIN 2020]
The number of four lettered words that can be formed from the letters of word '$MAYANK$' such that both $A$'s come but never together, is equal to
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If $^{{n^2} - n}{C_2}{ = ^{{n^2} - n}}{C_{10}}$, then $n = $
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