df Checkpoint 3 Create a new Python window/file and save it folder. lab3 checkpoint3 py" in the cs104lab3 as In mathematics, the terms permutation and combination define two ways of selecting elements from a collection. e A permutation is the selection of r elements from a set of n elements without replacement and where the order matters A combination is the selection ofr elements from a set of n elements without replacement and where order does not matter 4 For example, suppose S (a,b,c) is a collection of 3 elements (that is, n-3) and we need to select any 2 (that is, r 2) elements from this collection. Then, there are 6 possible permutations as ta.bi (ba) 3 possible combinations as (abl ac) . (b (ae , (ca) , (be) eb Generally, in the case of selecting r elements from a set of n elements, The number of permutations is given by P The number of combinations is given b Write a Python script which takes the total number of elements in the icollection (n), the number of elements to be selected (o) from the user, calculate and display the number of permutations and combinations if Fin using function xractsriai defined in Checkpoint2. Display an error message if m. Don't rewrite the function Eactoral. Imporr i lab3 checkpoint2p mo Don' usn the factorial function in the math modale ctirect A sample interaction when the script is run must look like follows. Item in bold font are responses entered by the user When rmn Enter the total numben of clements in the collection. 3 Enter number of elements to be selected 2 You have 6 permutations and 3 combinations to select! When rn Enter the total number ofelements in the collection: 3 Enter nurmbier of clements to be selected: 4 Sorry, you cannot seleet 4 clements from a collection of s elements! Hints: . Use if-else statement to check whether a number of elements to be selected (r) is less than or equals to the total number of elements in the collection (n) or not. . Call xEactorLal function to calculate factorials: n!, r! and (n-r)! .The function xFacitorbal must be imported from lab3 checkpoint2 py module before using it