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Let L denotes the number of subjective f...

Let L denotes the number of subjective functions `f : A -> B`, where set A contains 4 elementset B contains 3 elements. M denotes number of elements in the range of the function `f(x) = sec^-1(sgmx) + cosec^-1(sgn x)` where `sg n x` denotes signum function of x. And N denotes coefficient of `t^5` in `(1+t^2)^5(1+t^3)^8`. The value of `(LM+N)` is `lambda`, then the value of `lambda/19` is

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