ManualCountingAndCasework Symmetry Bijection AIME Difficult

2014

Problem - 94

Let $A={1,2,3,4}$, and $f$ and $g$ be randomly chosen (not necessarily distinct) functions from $A$ to $A$. Find the probability that the range of $f$ and the range of $g$ are disjoint.

The solution for this problem is available for $0.99.
You can also purchase a pass for all available solutions for $99.