What is incorrect with the following implementation of factorial: def factorial(n): return n* factorial(n-1) Pick ONE option Nothing is wrong OThe return value should be n + factorial(n-1) The return value should be factorial(n-1) * factorial(n-2) A base case is missing
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- CFG: Example 1 • Draw the CFG for the following code: int f(int n){ } int m = n* n; if (n < 0) else return 0; return m;def winning_card(cards, trump=None): Playing cards are again represented as tuples of (rank,suit) as in the cardproblems.pylecture example program. In trick taking games such as whist or bridge, four players each play one card from their hand to the trick, committing to their play in clockwise order starting from the player who plays first into the trick. The winner of the trick is determined by the following rules:1. If one or more cards of the trump suit have been played to the trick, the trick is won by the highest ranking trump card, regardless of the other cards played.2. If no trump cards have been played to the trick, the trick is won by the highest card of the suit of the first card played to the trick. Cards of any other suits, regardless of their rank, are powerless to win that trick.3. Ace is the highest card in each suit.Note that the order in which the cards are played to the trick greatly affects the outcome of that trick, since the first card played in the trick…Python Test: import recursive_functionsimport mathdef main():# Test factorialprint('Testing factorial.')assert recursive_functions.factorial(0) == 1assert recursive_functions.factorial(1) == math.factorial(1) == 1assert recursive_functions.factorial(2) == math.factorial(2) == 2assert recursive_functions.factorial(5) == math.factorial(5) == 120assert recursive_functions.factorial(7) == math.factorial(7) == 5040print('All tests pass for `factorial` ()\n')# Test sum_recursivelyprint('Testing sum_recursively.')assert recursive_functions.sum_recursively(0) == 0assert recursive_functions.sum_recursively(1) == sum(range(1+1)) == 1assert recursive_functions.sum_recursively(2) == sum(range(2+1)) == 3assert recursive_functions.sum_recursively(10) == sum(range(10+1)) == 55print('All tests pass for `sum_recursively` () ')# Test sumlist_recursively(l)print('Testing sumlist_recursively.')assert recursive_functions.sumlist_recursively([1,2,3]) == sum([1,2,3])assert…
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- CODING LANGUAGE: R (similar to python) R is a programming language for statistical computing and graphics supported by the R Core Team and the R Foundation for Statistical Computing. The Behdel TestThe Bechdel test asks whether a work of fiction features at least two women who talk to each otherabout something other than a man, and there must be two women named characters.In this mini analysis we work with the data used in the FiveThirtyEight story titled:"The Dollar-And-Cents Case Against Hollywood's Exclusion of Women"https://fivethirtyeight.com/features/the-dollar-and-cents-case-against-hollywoods-exclusion-of-women/Start with loading the packages: fivethirtyeight, tidyverse1. What information does this dataset contain? What commands did you use to see this?For our purposes of analysis we will focus our analysis on movies released between 1990 and 2013.bechdel90_13 <- bechdel %>%filter(between(year, 1990, 2013))2. How many movies are in our filtered data set?The…(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.Order check Write a program OrderCheck.java that takes four int command-line arguments w, x, y, and z. Define a boolean variable whose value is true if the four values are either in strictly ascending order (w < x < y < z) or strictly descending order (w > x > y > z), and false otherwise. Then, display the boolean variable value.