Solution:
The number of one-one functions
For the number of onto functions, we do division into groups as follows : 1 1 1 1 3 or 1 1 1 2 2 The number of onto functions is the sum in the two possible scenario, given by
Let X be a set with exactly 5 elements and Y be a set with exactly 7 elements. If is the number of one-one functions from X to Y and is the number of onto functions from Y to X, then the value of is ____.
The number of one-one functions
For the number of onto functions, we do division into groups as follows : 1 1 1 1 3 or 1 1 1 2 2 The number of onto functions is the sum in the two possible scenario, given by