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What is the maximum value of the given summation in terms of [itex]k, l[/itex] and [itex]N[/itex] ?

[tex]max_{0\leq x \leq k} \sum_{(l_1,l_2)\in A} \frac{N!}{(N-l_1-l_2)!l_1!l_2!} x^{l_1}(k-x)^{l_2}(1-k)^{N-l_1-l_2}[/tex]

where [itex]A=\{(l_1,l_2)|l_1,l_2 \in \{0,1,2,...,N\} [/itex] and [itex]l_1+2l_2=l\}[/itex] and [itex]0<k<1[/itex].

Thanks a lot for your participation.

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# Find the maximum value of a summation

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