2018 Asia Singapore Preliminary Contest

#### Start

2018-09-15 02:00 UTC

## 2018 Asia Singapore Preliminary Contest

#### End

2018-09-15 07:00 UTC
The end is near!
Contest is over.
Not yet started.
Contest is starting in -623 days 10:32:22

5:00:00

0:00:00

# Problem IClassical Counting

You have $N$ objects, each with $M$ copies. How many ways are there to take exactly $K$ of them?

## Input

The first line of input contains three integers, $N$, $M$ and $K$ respectively, subjected to $1 \leq N, M, K \leq 10^5$.

## Output

Output the number of ways. As the number of ways could be large, output them modulo $10^6 + 7$.

Sample Input 1 Sample Output 1
10 1 2

45

Sample Input 2 Sample Output 2
3 3 3

10

Sample Input 3 Sample Output 3
3 2 7

0