JEE Advanced 2020 Full Test 3 Paper 1

Let L denotes the number of surjective functions f:A→B, where set A contains 4 elements and set B contains 3 elements. M denotes number of elements in the range of the function. f(x)=sec−1(sgnx)+cos‌e‌c−1(sgnx) where sgn x denotes signum function of x And N denotes coefficient of t5 in (1+t2)5(1+t3)8. Find the value of ‌

(LM+N)

19