Consider sets A and B each having 4 elements. If $f: A→B$ be a function, then number of functions from A to B are : |
216 256 64 16 |
256 |
Set $A$ has 4 elements and set $B$ has 4 elements. Number of functions from $A$ to $B$ is given by $|B|^{|A|}$ $=4^{4}$ $=256$ Required number of functions = $256$ |