# Number of onto functions ?

Probability Level 5

Let $A=[x_1,x_2,x_3,x_4,x_5]$ and $B=[y_1,y_2,y_3,y_4]$.

A function $f$ be defined from $A$ to $B$.

If, $f(x_1)=y_1$ & $f(x_2)=y_2$,

then what is the number of onto functions defined from $A$ to $B$ ?

Note:

The figure (in the pic) is a rough one. :)

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