python

Task $3$: Permutation.

Permutations in mathematics are the ways of picking several items from a large group,

Task $3$: Permutation.

Permutations in mathematics are the ways of picking several items from a large group,

where order matters. For example, there are $12$ ways to pick $2$ items with different orders

from a group of $4$ items. In mathematics, the number of permutations of picking k items

with different orders from a group of n items is denoted as $$

$,$ n$,$ or $(,).$

$$

$=!$

$()!$

Write a function named getNumberOfPermutations$($n$,$ k$)$ for computing $$

$$ using following

header:

def getNumberOfPermutations$($n$,$ k$)$:

Write a test program that prompts the user to enter n and k and displays $$

$$ as shown in the

following sample run:

Enter n: $4$

Enter k: $2$

The P$($n$,$ k$)$ is $12$

Enter n: $500$

Enter k: $45$

The P$($n$,$ k$)$ is

$3690091613881336854967574813004580538477191402942308559040200319586680502$

$859734621537150301718903887006531584000000000000$