Number of onto functions ?

Probability Level 5

Let A=[x1,x2,x3,x4,x5]A=[x_1,x_2,x_3,x_4,x_5] and B=[y1,y2,y3,y4]B=[y_1,y_2,y_3,y_4].

A function ff be defined from AA to BB.

If, f(x1)=y1f(x_1)=y_1 & f(x2)=y2f(x_2)=y_2,

then what is the number of onto functions defined from AA to BB ?


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

Wanna try more problems on functions ?


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