For integers n and r, let left(begin{array}{l | vedclass

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Question

$\sum_{i=0}^{k}\left(\begin{array}{c}10 \ i\end{array}ight)\left(\begin{array}{c}15 \ k-i\end{array}ight)+\sum_{i=0}^{k+1}\left(\begin{array}{c}

Vedclass · Accepted Answer

Not define

Vedclass · Answer

$\sum_{i=0}^{k}\left(\begin{array}{c}10 \ i\end{array}ight)\left(\begin{array}{c}15 \ k-i\end{array}ight)+\sum_{i=0}^{k+1}\left(\begin{array}{c}12 \ i\end{array}ight)\left(\begin{array}{c}13 \ k+1-i\end{array}ight)$

${ }^{25} C _{ k }+{ }^{25} C _{ k +1}$

${ }^{26} C _{ k +1}^{  }$

as ${ }^{ n } C _{ r }$ is defined for all values of $n$ as will as r so ${ }^{26} C _{ k +1}$ always exists

Now $k$ is unbounded so maximum value is not defined.

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