જો left( {_{,2}^{10}} right) + left( {_{ | vedclass

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

Question

$\left( {\begin{array}{*{20}{c}}
  n \ 
  {r - 1} 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  n \

Vedclass · Accepted Answer

$6$

Vedclass · Answer

$\left( {\begin{array}{*{20}{c}}
  n \ 
  {r - 1} 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  n \ 
  r 
\end{array}} ight) = \left( {\begin{array}{*{20}{c}}
  {n + 1} \ 
  r 
\end{array}} ight)$  મળે .

અહી $ \left( {\begin{array}{*{20}{c}}
  {10} \ 
  2 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {10} \ 
  3 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {11} \ 
  4 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {12} \ 
  5 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {13} \ 
  6 
\end{array}} ight) = \left( {\begin{array}{*{20}{c}}
  {14} \ 
  r 
\end{array}} ight)$

$\left( {\begin{array}{*{20}{c}}
  {11} \ 
  3 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {11} \ 
  4 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {12} \ 
  5 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {13} \ 
  6 
\end{array}} ight) = \left( {\begin{array}{*{20}{c}}
  {14} \ 
  r 
\end{array}} ight)\,\,\,\,$

$\left( {\begin{array}{*{20}{c}}
  {12} \ 
  4 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {12} \ 
  5 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {13} \ 
  6 
\end{array}} ight) = \left( {\begin{array}{*{20}{c}}
  {14} \ 
  r 
\end{array}} ight)\,\,$

$\left( {\begin{array}{*{20}{c}}
  {12} \ 
  4 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {12} \ 
  5 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {13} \ 
  6 
\end{array}} ight) = \left( {\begin{array}{*{20}{c}}
  {14} \ 
  r 
\end{array}} ight)$

$\left( {\begin{array}{*{20}{c}}
  {13} \ 
  5 
\end{array}} ight) + \left( {\begin{array}{*{20}{c}}
  {13} \ 
  6 
\end{array}} ight) = \left( {\begin{array}{*{20}{c}}
  {14} \ 
  r 
\end{array}} ight)\,\,\,$

$\left( {\begin{array}{*{20}{c}}
  {14} \ 
  6 
\end{array}} ight) = \left( {\begin{array}{*{20}{c}}
  {14} \ 
  r 
\end{array}} ight)\,\,\,$

$r = 6$

જો $\left( {_{\,2}^{10}} \right) + \left( {_{\,3}^{10}} \right) + \left( {_{\,4}^{11}} \right) + \left( {_{\,5}^{12}} \right) + \left( {_{\,6}^{13}} \right) = \left( {_{\,r}^{14}} \right)\,\,$ હોય, $r\, = \,\,.........$

Similar Questions

જો $P(n, r) = 1680$ અને $C (n, r) = 70,$ હોય, તો $69 n + r! = ……$.

$'COURTESY'$ શબ્દના અક્ષરો વડે કેટલા શબ્દો બનાવી શકાય જેનો પ્રથમ અક્ષર $C$ અને અંતિમ અક્ષર $Y$ હોય ?

$'MISSISSIPPI'$ શબ્દના અક્ષરો વડે એક અથવા વધારે અક્ષરોવાળા કુલ કેટલા ભિન્ન સંચયો બનાવી શકાય ?

જો પાંચ અંકો વાળી સંખ્યા કે જેના બધા અંકો ભિન્ન છે અને દશાંશ મૂલ્ય પર $2$ હોય તેવી કુલ $336 \mathrm{k}$ મળે છે તો $\mathrm{k}$ મેળવો.