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## Homework Statement

Let F be the set of one-to-one functions from the set ##{1,2,..,n}## to the set ##{1,2,...,m}## where ##m \geq n \geq 1##. Then how many functions f in F satisfy the property ##f(i)<f(j)## for some ##1 \leq i \leq j \leq n##

## Homework Equations

## The Attempt at a Solution

##^{m-1}P_n##. Is it correct