A partial permutation is an ordering of only k objects taken from a collection containing n objects (i.e., k s n). For example, one partial permutation of three of the first eight positive integers is given by (5,7,2). P(n,k) counts the total number of partial permutations of k objects that can be formed from a collection of n objects. Note, P(n,n) is just the number of permutations of n objects. Write a Python script to solve the following, Positive integers n and k such that 100 > n > 0 and 10 > k >0. Return: The total number of partial permutations P(ak), modulo 1,000,000. Given: Sample Dataset: 217 Sample Output: 51200

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Please use python and comment on code so I can get a better understanding.  If you use any online resources please link them. Thank you.

A partial permutation is an ordering of only k objects taken from a collection containing n
objects (i.e., k < n). For example, one partial permutation of three of the first eight positive
integers is given by (5,7,2).
P(n.k) counts the total number of partial permutations of k objects that can be formed from a
collection of n objects. Note, P(n,n) is just the number of permutations of n objects.
Write a Python script to solve the following,
Positive integers n and k such that 100 >n>0 and 10 > k >0.
The total number of partial permutations P(n,k), modulo 1,000,000.
Given:
Return:
Sample Dataset:
21 7
Sample Output:
51200
Your script should output the data in the same format as indicated here to the
terminal/console. It will receive the value of n from the user via the terminal/console. Note,
efficiency is key in generating the solution; your code should take seconds to complete.
Transcribed Image Text:A partial permutation is an ordering of only k objects taken from a collection containing n objects (i.e., k < n). For example, one partial permutation of three of the first eight positive integers is given by (5,7,2). P(n.k) counts the total number of partial permutations of k objects that can be formed from a collection of n objects. Note, P(n,n) is just the number of permutations of n objects. Write a Python script to solve the following, Positive integers n and k such that 100 >n>0 and 10 > k >0. The total number of partial permutations P(n,k), modulo 1,000,000. Given: Return: Sample Dataset: 21 7 Sample Output: 51200 Your script should output the data in the same format as indicated here to the terminal/console. It will receive the value of n from the user via the terminal/console. Note, efficiency is key in generating the solution; your code should take seconds to complete.
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