Set and set each contain exactly 3 elements

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Set AA and set BB each contain exactly 3 elements. A function is chosen at random from AA to BB. What is the probability that the chosen function is bijective? (a) 13\dfrac{1}{3} (b) 16\dfrac{1}{6} (c) 29\dfrac{2}{9} (d) 19\dfrac{1}{9}

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