Most Important Selected Qs for JEE AdvancedMathematicsProbability
f is any function from A to A where A= 1,2, 10 . The discrete points on the graph of f(x) are joined with line segments the probability that f is onto and the resulting graph has only one local minima and no local maxima is 2^ k -2 10¹⁰ then k is
Correct answer
9
Step-by-step solution
Total number of function satisfying the given condition is ^9 C ₁+ ^9 C ₂+ ^9 C ₈=2^9-2 Probability = 2^9-2 10¹⁰