True or Fales with explaination 1 The number of onetoone fun

True or Fales with explaination:

(1) The number of one-to-one functions from an m-element set to an n-element set is P(n, m). True/False

Explain why either true or false?

Solution

False

This statement is not always true .

It is true only when n>=m otherwise it is 0.