basic constructions exercise compute up through historygreat minds have developed different computational schemes for the number we will here consider two such schemesone by leibniz ( )and one by euler ( the scheme by leibniz may be written kd while one form of the euler scheme may appear as dt kd if only the first terms of each sum are used as an approximation to each modified scheme will have computed with some error write program that takes as input from the userand plots the error development with both schemes as the number of iterations approaches your program should also print out the final error achieved with both schemesi when the number of terms is run the program with and explain briefly what the graphs show filenamecompute_pi py exercise compute combinations of sets consider an id number consisting of two letters and three digitse re how many different numbers can we haveand how can program generate all these combinationsif collection of things can have variations of the first thingm of the second and so onthe total number of variations of the collection equals mn in particularthe id number exemplified above can have     variations to generate all the combinationswe must have five nested for loops the first two run over all letters aband so on to zwhile the next three run over all digits to convince yourself about this resultstart out with an id number on the form where the first part can vary among aband cand the digit can be among or we must start with and combine it with and then continue with bcombined with and and finally combine with and double for loop does the work ain deck of cardseach card is combination of rank and suit there are ranksace ( ) jack ( )queen ( )king ( )and four suitsclubs ( )diamonds ( )hearts ( )and spades (sa typical card may be write statements that generate deck of cardsi all the combinations cac and so on to sk ba vehicle registration number is on the form de where the letters vary from to and the digits from to write statements that compute all the possible registration numbers and stores them in list