If ^n{C_4},{,^n}{C_5}, and {,^n}{C_6},&n | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$2.{\,^n}{C_5}{ = ^n}{C_4}{ + ^n}{C_6}$

$2.\frac{{\left| n \right.}}{{\left| {5\left| {n - 5} \right.} \right.}} = \frac{{\left| n \right.}}{{\left

Vedclass · Accepted Answer

$14$

Vedclass · Answer

$2.{\,^n}{C_5}{ = ^n}{C_4}{ + ^n}{C_6}$

$2.\frac{{\left| n \right.}}{{\left| {5\left| {n - 5} \right.} \right.}} = \frac{{\left| n \right.}}{{\left| {4\left| {n - 4} \right.} \right.}} + \frac{{\left| n \right.}}{{\left| {6\left| {n - 6} \right.} \right.}}$

$\frac{2}{5}.\frac{1}{{n - 5}} = \frac{1}{{\left( {n - 4} \right)\left( {n - 5} \right)}} + \frac{1}{{30}}$

$n=14$ satisfying equation.

If $^n{C_4},{\,^n}{C_5},$ and ${\,^n}{C_6},$ are in $A.P.,$ then $n$ can be

Similar Questions

If the sum and product of the first three term in an $A.P$. are $33$ and $1155$, respectively, then a value of its $11^{th}$ tern is

The value of $\sum\limits_{r = 1}^n {\log \left( {\frac{{{a^r}}}{{{b^{r - 1}}}}} \right)} $ is

Write the first five terms of the sequences whose $n^{t h}$ term is $a_{n}=(-1)^{n-1} 5^{n+1}$

Find the sum of all two digit numbers which when divided by $4,$ yields $1$ as remainder.

$150$ workers were engaged to finish a piece of work in a certain number of days. $4$ workers dropped the second day, $4$ more workers dropped the third day and so on. It takes eight more days to finish the work now. The number of days in which the work was completed is